Question -
Answer -
Let’s assume A1,A2, A3, A4, and A5 to be fivenumbers between 8 and 26 such that 8, A1, A2, A3,A4, A5, 26 are in an A.P.
Here we have,
a = 8, b = 26, n =7
So,
26 = 8 + (7 – 1) d
6d = 26 –8 = 18
d = 3
Now,
A1 = a + d =8 + 3 = 11
A2 = a +2d = 8 + 2 × 3 = 8 + 6 = 14
A3 = a +3d = 8 + 3 × 3 = 8 + 9 = 17
A4 = a +4d = 8 + 4 × 3 = 8 + 12 = 20
A5 = a +5d = 8 + 5 × 3 = 8 + 15 = 23
Therefore, therequired five numbers between 8 and 26 are 11, 14, 17, 20, and 23.