Take Class 10 Tuition from the Best Tutors

• Affordable fees
• 1-1 or Group class
• Flexible Timings
• Verified Tutors

Search in

# Solve the equation: 1 + 4 + 7 + 10 + ... + x = 287

Maths Tutor

airthmetic progression Sn = n/2(2a+(n-1)d) given a=1, d=4-1=3 & Sn = 287 287 = n/2 (2*1 +(n-1) 3) 287*2 = n(2 + 3n - 3) 574 = 2n + 3n^2 - 3n 3n^2 -n - 574 = 0 on solving the quadratic equation using formula n= -b + sq.root(b^2 -4ac) ...
airthmetic progression Sn = n/2(2a+(n-1)d) given a=1, d=4-1=3 & Sn = 287 287 = n/2 (2*1 +(n-1) 3) 287*2 = n(2 + 3n - 3) 574 = 2n + 3n^2 - 3n 3n^2 -n - 574 = 0 on solving the quadratic equation using formula n= -b + sq.root(b^2 -4ac) ----------------------- 2a we get n = 14, -41/3 n not equal to -41/3 due to negative nos. n=14 Sn = n/2 (a +l) 287 = 14/2(1 +x) 574 = 14 (1+x) 574 / 14 = 1+x 41 = 1 + x So, x = 41 - 1 x = 40 is the solution read less

Physicist

X=40 First use the formula of summation of n terms an A.P and get value of n then use formula of nth term of A.P

Tutor

Solution is: x = 40 Explanation:- The LHS of the given equation is an AP, Let the total no.of terms upto 'x' are N, So now using the suitable formula for sum of AP; (N/2) = S Here, a = 1, d = 3, N = ?, S = 287 So, on putting all these values and solving, we get; N = 14 or N = -82/6 Accepting, N =...

Solution is:    x = 40

Explanation:-

The LHS of the given equation is an AP,

Let the total no.of terms upto 'x' are N,

So now using the suitable formula for sum of AP;

(N/2)[ 2a + (N-1)d ] = S

Here, a = 1, d = 3, N = ?, S = 287

So, on putting all these values and solving, we get;

N = 14 or N = -82/6

Accepting, N = 14 (being a natural number)

Further to solve the value of 'x' , using the formula for finding Nth term of an AP;

T = a + (N-1)d

Here, T= x, N = 14,

Therefore, on solving, we get;

x = 40

Related Questions

Name the quadrant where the sign (-, +)?
In the 2nd quadrant. Where X will be negative and Y will be positive.
K
Is the tuition necessary in class 9?
Offcourse It's a guideline in your study
Parna

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Related Lessons

Basics question for today
Can u tell why factorial 0 and factorial 1 has same value as 1?

How can you be the frist class student and top student in your class
Like CBSE, ICSE and other State board exam in any level of classes you can be top and first-class student in your class. Frist I would like to recommend the following tips to use in your life which can...
K

Kedeswar Meher

SIMALTANIUS EQUATIONS
If two linear equations are given, then we can find the values of variables, by solving those equations simultaneously. 2x+3y=10---(1) x-3y=8-------(2) These are the two linear equations, we can find...

Profit and loss important formulas
IMPORTANT FACTS Cost Price: The price, at which an article is purchased, is called its cost price, abbreviated as C.P. Selling Price: The price, at which an article is sold, is called itsselling prices,...
Find Class 10 Tuition near you

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

### Looking for Class 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

• Select the best Tutor
• Book & Attend a Free Demo
• Pay and start Learning

### Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 Tuition Classes are on UrbanPro