Question

Sn=3n+1 Then the common difference of Arithmetic Progression is​

Answer 1

Answer:

the common difference is-1

Answer 2

SOLUTION

GIVEN

$\sf{S _n = 3n + 1}$

TO DETERMINE

The common difference of the Arithmetic progression

EVALUATION

Here it is given that for a given arithmetic progression

Sum of n terms is given by

$\sf{S _n = 3n + 1}$

Putting n = 1 we get

Sum of 1 term

= First term

= 3 + 1

= 4

Putting n = 2 we get

Sum of 2 terms

= First term + Second Term

= 6 + 1

= 7

∴ Second Term = 7 - 4 = 3

Common Difference

= Second Term - First term

= 3 - 4

= - 1

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