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
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Let the 5 number be a1,a2,a3,a4,a5.
We know that an = a+ (n-1) * d
26 = 8 + (7 – 1) d
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.
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