Free CBSE - Class 10 Mathematics Arithmetic Progression EXERCISE 5.3 Worksheets

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Sample CBSE - Class 10 Mathematics Arithmetic Progression EXERCISE 5.3 Worksheet Questions

Find the sums given below :
(ii) 34 + 32 + 30 + . . . + 10

Find the sums given below :
(iii) –5 + (–8) + (–11) + . . . + (–230)

In an AP:
(i) given $a = 5, d = 3, a_n = 50$, find $n$ and $S_n$.

In an AP:
(ii) given $a = 7, a_{13} = 35$, find $d$ and $S_{13}$.

In an AP:
(iii) given $a_{12} = 37, d = 3$, find $a$ and $S_{12}$.

In an AP:
(iv) given $a_3 = 15, S_{10} = 125$, find $d$ and $a_{10}$.

In an AP:
(vi) given $a = 2, d = 8, S_n = 90$, find $n$ and $a_n$.

In an AP:
(vii) given $a = 8, a_n = 62, S_n = 210$, find $n$ and $d$.

In an AP:
(viii) given $a_n = 4, d = 2, S_n = –14$, find $n$ and $a$.

10.

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line (see Fig. 5.6).

A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run? [Hint : To pick up the first potato and the second potato, the total distance (in metres) run by a competitor is $2 \times 5 + 2 \times (5 + 3)$]

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