Question

is the Consider the expression a_n = 2n − 1, AP . 

Answer 1

Consider the expression a_n = 2n − 1,
For n = 1, a₁ = 2(1) − 1 = 1
For n = 2, a₂ = 2(2) − 1 = 3
For n = 3, a₃ = 2(3) − 1 = 5
For n = 4, a₄ = 2(4) − 1 = 7
The first four terms are 1, 3, 5, 7.
The difference between each consecutive term is 2.
Hence this is an A.P