Question

In an
AP, Sn=3n +5 ,then value of 'd' is​

Answer 1

Step-by-step explanation:

a=3(1)+5=8

S2=3(2)+5=11

A2=11-8=3

so AP is 8 , 3....

d=3-8= -5

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Answer 2

Answer:

     d = -5

Step-by-step explanation:

Given :- In an AP, Sn=3n+5 then, the value of ‘d’ is:

Solution :-

→ Sn = 3n + 5

so,

at n = 1,  

→ S1 = 3*1 + 5 = 3 + 5 = 8  

at n = 2

→ S2 = 3*2 + 5 = 11

Let first term of given AP is a and common difference is d .

so,

→ S1 = a1 = 8

→ S2 = a1 + a2

→ S2 = a1 + (a1 + d)

then,

→ a1 + (a1 + d) = 11

→ 8 + 8 + d = 11

→ 16 + d = 11

→ d = 11 - 16

→ d = (-5) (Ans.)