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Question -

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P



Answer -

Let A1, A2,A3, A4, A5 be the 5 numbers between 8 and26

Then, 8, A1,A2, A3, A4, A5, 26 are in AP

By using the formula,

An = a+ (n – 1)d

An =26, a = 8, n = 7

26 = 8 + (7 – 1)d

26 = 8 + 6d

6d = 26 – 8

6d = 18

d = 18/6

= 3

So,

A1 = a+ d = 8 + 3 = 11

A2 = A1 +d = 11 + 3 = 14

A3 = A2 +d = 14 + 3 = 17

A4 = A3 +d = 17 + 3 = 20

A5 = A4 +d = 20 + 3 = 23

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