Question

Question 14 Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Class X1 - Maths -Sequences and Series Page 185

Answer 1

Let the 5 number be a1,a2,a3,a4,a5.

We know that an = a+ (n-1) * d

                       26 = 8 + (7 – 1) d

                      6d = 26 – 8 

                       6d = 18

                       d = 3

a1 = a + d = 11

a2 = a + 2d  =  14

a3 = a + 3d  = 17

a4 = a + 4d  = 20

a5 = a + 5d = 23.

The five numbers are 11, 14, 17, 20, and 23.

Answer 2

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