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Formula for Sum of n Terms of an AP

Amit starts h...

Question

Amit starts his exercise regime with 25 push ups on Monday. He plans to increase 5 push ups every following Monday. How many push ups will he be doing on the 3^rd Monday since he started?

A

60

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B

45

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C

35

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D

70

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Solution

The correct option is C
35

This is a typical case of A.P.

The common difference, d = 5

We need to find the number of push ups on the 3rd Monday.

Number of push ups on first Monday, a₁ = 25

Number of push ups on second Monday, a₂ = a₁ + d

= 25 + 5 = 30

Number of push ups on third Monday, a₃ = a₂ + d

= 30 + 5 = 35

Hence, the total number of push ups that Amit will be doing on 3^rd Monday is 35.

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