Question

Find the nth term of this number sequence
7, 10, 13, 16, ...

help please !!

Answer 1

The nth term = 3n + 4.

Explanation:

The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.

So this breaks down simply to,

a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4

Answer 2

`a_(n)` = 3n + 4

Explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

`a_(n)` = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4