Question

What is the nth term of the arith metic sequence 10,16,22,28,......?​

Answer 1

`a_(n)` = 6n + 4

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = a₂ - a₁ = 16 - 10 = 6, then

`a_(n)` = 10 + 6(n - 1) = 10 + 6n - 6 = 6n + 4

Answer 2

nth term = 6n + 4 where n = no. of terms.

I hope it will be useful.