Question

S10 in an ap if the sum of first 3 term is 9 and sum of next 3 term is 27 is
a)30
b)38
c)46
d)36​

Answer 1

Answer:

the answer is 38

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the terms of AP be a-5d, a-3d, a-d, a+d, a+3d, a+5d

Sum of first 3 terms

3a-9d=9

a-3d=3

Sum of next 3 terms

3a+9d=27

a+3d=9

Solving both equations,

a=6, d=1

Now S10 = n/2 (2a + (n-1) d)

S10 = 5 (12 + (9). 1)

S10 = 5 (21)

S10 = 105

Verification

a=6, d=1

Terms are 6,7,8,9,10,11,12,13,14,15

If you add the terms you will get 105.

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