Progression Practice Test 1

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Question : 9 of 23

Marks: +1, -0

If the sum of P term of an AP is

8P^2 - 4P

, find the nth term and the AP series.

3, 21, 37, 53
3, 20, 36, 52
4, 20, 36, 52
4, 20, 37, 52
None of the above

Solution:

We have

t_n=S_n-S_{n-1}

=(8n^2-4n)-(8(n-1)^2-4(n-1))

t_n=16n-12

So,

t_1=16×1-12=4

t_2=16×2-12=20

t_3=16×3-12=36

t_4=16×4-12=52

Hence, AP is 4, 20, 36, 52 …..

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