In an AP if S_n = n(4n + 1), then find the AP.... | VSA 2m | Maths | SuperPadhai

Arithmetic Progressions > Question

VSA2 marksYear: 2022MediumCBSE Class 10

arithmetic-progressionssum-formulafinding-ap

Question

In an AP if

S_{n} = n (4 n + 1)

, then find the AP.

Solution

1

a = S_{1} = 1 (4 \times 1 + 1) = 5

+0.5 marks

2

a + (a + d) = S_{2} = 2 (4 \times 2 + 1) = 18

, so

a + d = 13

,

d = 8

.

+1 mark

3

Hence, AP is

5, 13, 21, ...

+0.5 marks

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