Question

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

Answer 1

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, 

A_n = 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