Question

3+5+7+.....+103 determine the general term

Answer 1

`a_(n)` = 2n + 1

Explanation:

there is a common difference in the first 3 terms, that is

5 - 3 = 7 - 5 = 2

this indicates the sequence could be arithmetic with nth term

`a_(n)` = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 3 and d = 2 , then the general term is

`a_(n)` = 3 + 2(n - 1) = 3 + 2n - 2 = 2n + 1