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Insert five numbers between 8 and 26 such that the resulting sequence is an A.P
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P
Arithmetic Progressions | CBSE | Class 11 | Exercise 19.6 | Maths | RD Sharma
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P

Answer:

A1, A2, A3, A4, A5 – 5 numbers between 8 and 26

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

d = 3

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

i

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