Question

choose
the correct
answer:
in
AP, Sn=30+ 5 then, the value of 'do
A] 3
B] 5
C] -5
D] 8​

Answer 1

Answer:

SOLUTION

TO CHOOSE THE CORRECT OPTION

\sf{In \: an \: AP \: \: S_n = 3n + 5 \: \: then \: the \: value \: of \: d \: is }InanAPS

n

=3n+5thenthevalueofdis

A) 3

B) 5

C) -5

D) 8

EVALUATION

Here it is given that

\sf{In \: an \: AP \: \: S_n = 3n + 5 }InanAPS

n

=3n+5

Now

\sf{S_n = Sum \: of \: first \: n \: terms \: of \: the \: AP }S

n

=SumoffirstntermsoftheAP

Putting n = 1 we get sum of first one term of the AP

Sum of first one term of the AP

= First term

= ( 3 × 1 ) + 5

= 3 + 5

= 8

Putting n = 2 we get sum of first two term of the AP

Sum of first term term of the AP

= First term + Second term

= ( 3 × 2 ) + 5

= 6 + 5

= 11

From above we get

First term = 8

Second Term = 11 - 8 = 3

Common Difference = d = 3 - 8 = - 5

∴ d = - 5

FINAL ANSWER

Hence the correct option is C) - 5

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