Question

If a=3,n=8,s=192,d=..........……..........?​

Answer 1

$\huge\bold\red{Answer :-}$

The common difference is d = 6.

Step-by-step explanation:

Given : In an AP given a=3 , n=8 , s=192

To find : The common difference d.

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Solution :

We know that : S = n/2 [2a + (n - 1) d]

192 = 8/2 [ 2 x 3 + ( 8 - 1 ) d ]

192/4 = 6 + 7 d

6 + 7 d = 48

d = 42 / 7

d = 6

Therefore, The common difference is d=6.

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Answer 2

Answer:

Given that:

a=3

n=8

s=192

d=?

we known that

Sn=n/2(2a+(n-1)d)

Putting values

192=8/2(2×3+(8-1)×d

192=4(6+7d)

192/4=6+7d

48=6+7d

48-6=7d

42=7d

d=42/7

d=6