Question

Insert Five numbers between 8 and 26 such that the resulting sequence is an arithmetic progression.

Answer 1

Let the five AM’* are A1, A2, A3, A4, A5

∴ 5 AM'* are ∴ 8, A1, A2, A23, A4, A5, A6

∴ A1 = 11 n = 7, a = 8, d = ?, an = 26. A2 = 14

an = a + (n - 1) d. A3 = 17.

2b = 8 + (7-1)d A4 = 20

∴ [d = 3] A5 = 23