Insert five numbers between 8 and 26 such that the resulting sequence is an A.P
Let A1, A2, A3, A4, A5 be the 5 nos Between 8 And 26
Then, 8, A1, A2, A3, A4, A5, 26 are in AP
We know,
An = a + (n - 1)d
A7 = 26 = 8 + (7 - 1)d
d = 3
Hence,
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