Find the best tutors and institutes for Class 10 Tuition
Learn nth term of an AP
Welcome to one of the most scoring and logically fascinating topics in your CBSE Class 10 Mathematics syllabus: Arithmetic Progressions. When you look at a sequence of numbers that increases or decreases by a fixed amount—like the rungs of a ladder, the seating rows in a stadium, or a savings account growing by a constant amount each month—you are observing an Arithmetic Progression (AP). But what if you need to find the value of the 50th or 100th step without writing out the entire sequence one by one? This is where the concept of the nth term of an AP becomes incredibly useful, allowing you to instantly calculate any specific term in a sequence using a simple, unified rule.
The core logic of finding the nth term relies on understanding how the sequence is fundamentally built. Every single term is generated by adding a fixed number, called the common difference (d), to the previous term. Starting from the first term (a), the second term is a + d, the third term is a + 2d, and so on. Notice the distinct pattern: the number of times you add d is always exactly one less than the position of the term itself. Therefore, the general formula for the nth term (often denoted as an) is mathematically expressed as: an = a + (n - 1)d. Here, n represents the position or term number you want to find. By simply plugging in these three known variables, you can bypass tedious manual addition and jump directly to your answer.
Take a look at the diagram above, which clearly visualizes an Arithmetic Progression where the sequence begins with 3 and grows by 4 at each step. As shown by the green circles, the first term (a) is 3. To reach the second term, we add the common difference (d = 4) once, arriving at 7. To reach the third term, we add d twice, giving us 11, and the mathematical pattern continues perfectly. The diagram vividly illustrates the core rule: to find the value of any term, you add the common difference exactly one less time than the term's position. The bottom section of the graphic applies this logic to find the 10th term (a10) by substituting a = 3, n = 10, and d = 4 into the formula, yielding a final answer of 39. In your CBSE board exams, questions will frequently ask you to find a specific term like this, determine the total number of terms in a finite AP, or identify which exact position holds a particular value (e.g., "Which term of the AP is 78?"). Mastering this formula is the absolute key to solving these word problems accurately.
Grasping the concept of the nth term of an AP is a fundamental stepping stone to mastering the entire Arithmetic Progressions chapter. If you find yourself getting confused with sequence formulas, dealing with negative common differences, or breaking down complex word problems, personalized guidance can make a world of difference. On UrbanPro, you can easily find highly experienced, verified Class 10 Mathematics tutors tailored exactly to your learning style. Whether you are looking for interactive online classes or prefer focused local offline tuition near your home, UrbanPro connects you with top-rated educators who can simplify these concepts, provide targeted practice, and ensure you are fully confident and prepared for your board exams.
Other Concepts in Arithmetic Progression
- EXERCISE 5.1
- EXERCISE 5.2
- EXERCISE 5.3
- EXERCISE 5.4
- EXERCISE 5.4 (Optional)*
- Sum of first n terms of an AP
Other Concept Videos for nth term of an AP
Finding the nth Term in an AP
CBSE - Class 10>Mathematics>Arithmetic Progression>nth term of an AP
Top Tutors who teach nth term of an AP
Top Tutor 
Mahipalpur, Delhi 
Student's Home As an experienced teacher for nine years, I have been teaching to make students interested in the subjects of Maths. My attitude is to help children improve in studies in the best possible way.
Super Tutor Itagalpura Main Rd, Madappanahalli 
133 students 
3628 hrs of classes completed 
500 per hour 
Online Classes I gained extensive experience in delivering high-quality education following the CBSE/ICSE curriculum. My key responsibilities included: Classroom Teaching: Effectively taught Mathematics, Physics and Chemistry to students of classesX, ensuring alignment with the CBSE/ ICSE syllabus and fostering a deep understanding of key concepts. Curriculum Planning: Designed and implemented lesson plans that adhered to the CBSE guidelines, ensuring comprehensive coverage of topics while keeping in mind the varying learning needs of students. Student Assessment: Created and administered tests, quizzes, and assignments in accordance with the CBSE exam pattern. Monitored student performance and provided constructive feedback to facilitate continuous improvement. Interactive Learning: Encouraged an interactive classroom environment, integrating various teaching aids such as multimedia presentations, hands-on activities, and group discussions to enhance student engagement and understanding. Preparation for Board Exams: Provided focused support for students appearing for their CBSE/ICSE board exams by conducting regular revision sessions, mock tests, and personalized guidance to help them excel. Parental Communication: Maintained regular communication with parents regarding student progress, attendance, and overall development. Organized parent-teacher meetings to ensure a collaborative approach to student growth. Co-curricular Involvement: Actively participated in school events, projects, and extracurricular activities, fostering holistic development among students. Professional Development: Engaged in continuous professional development through workshops and CBSE training programs to stay updated with the latest educational practices and policies.
I have approached Sai sir for my daughter Maths tuition. The way you are interacting with student making learning so interesting and explaining everything was just outstanding. Your support and encouragement have given me the confidence.Thank you so much sir for your patience. Your teaching skills are very unique so that any student can easily grasp and enjoy learning.
Top Tutor Kharodi West, Mumbai 1 student 700 per hour Student's Home An accommodating and versatile individual with the talent to develop inspiring hands-on lessons that will capture a child's imagination and breed success.
She’s the sweetest and the most lovable teacher i have ever met. The subject never felt tough with her.
Top Tutor J.P.Nagar VI Phase, Bangalore 5 students 1774 hrs of classes completed 1000 per hour Online Classes 
Tutor's home I'm delighted to introduce myself as an experienced educator with a strong passion for teaching Mathematics and Science to students from 6th to 10th grade in both CBSE and ICSE boards. Educational Background: I hold a degree in BSc Physics, followed by an MSc and a B.Ed. My academic journey has equipped me with a deep understanding of the subjects and effective teaching methodologies. Passion for Teaching: Teaching is not just a profession for me; it's a lifelong passion that ignited during my younger days. The desire to contribute to society through education has been a driving force throughout my career. Teaching Experience: My journey in education began during my BSc days when I started tutoring younger students. Over the years, I've refined my teaching skills, working as a home tutor and gaining valuable experience in schools catering to both ICSE and CBSE curricula. Online Teaching Approach: In this digital age, I understand the importance of adapting to modern teaching methods. My online sessions are designed to be interactive, engaging, and conducive to effective learning. Each session lasts for an hour, during which I ensure a comprehensive coverage of the material, coupled with interactive discussions and lesson plans. Commitment to Excellence: My commitment is not just to impart knowledge but to foster a love for learning. I strive to create an environment where students not only understand the subjects but also develop critical thinking skills. If you're seeking a dedicated and passionate educator for your child's academic journey, I'm here to help. Let's embark on this learning adventure together!
Top Tutor Indirapuram, Ghaziabad 39 hrs of classes completed Online Classes I was a working professional .Left my job and started teaching as a tutor. I have been a national level debater . I am a famous teacher amongst my students .
Find more Tutor for nth term of an AP in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Chennai Mathematics Tutors
- Gurgaon Mathematics Tutors
- Noida Mathematics Tutors
- Hyderabad Mathematics Tutors
- Mumbai Mathematics Tutors
- Ghaziabad Mathematics Tutors
- Chandigarh Mathematics Tutors
- Pune Mathematics Tutors
- Jaipur Mathematics Tutors
- Surat Mathematics Tutors
FAQ
What is the meaning of nth term of an AP?
It refers to a specific mathematical method or property in Arithmetic Progression used to solve problems involving nth term of an AP.
Why is nth term of an AP important for CBSE - Class 10 exams?
This concept is crucial for the exams as questions related to Arithmetic Progression and specifically nth term of an AP are very common. It helps secure marks in the section effectively.
Is nth term of an AP part of the latest NCERT syllabus?
Yes, nth term of an AP is an integral part of the CBSE - Class 10 NCERT Mathematics syllabus. It is a key topic covered in the Arithmetic Progression chapter.
What are common mistakes students make with nth term of an AP?
Students often miss the minute details or fundamental definitions of nth term of an AP. Regular revision and practice are needed to master the nuances.
How should I approach learning nth term of an AP?
Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.
How can UrbanPro help me understand nth term of an AP better?
UrbanPro connects you with experienced Mathematics tutors who can explain nth term of an AP with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.
