Question

Check whether the following sequence is in A.P.

a – 3, a – 5, a – 7, …

Answer 1

a – 3, a – 5, a – 7…….

t₂ – t₁ = a – 5 – (a – 3)

= a – 5 – a + 3

= – 2

t₃ – t₂ = a – 7 – (a – 5)

= a – 7 – a + 5

= – 2

t₂ – t₁ = t₃ – t₂ ......(common difference is same)

The sequence is in A.P.