Question

Write the nth term rule for the arithmetic sequence with the

given term and common difference.
a₁ = 2
d=4
an =

Answer 1

aₙ=5n-3

Explanation:

The nth term is given by the formula:

`aₙ = a₁ + (n - 1)d`

where aₙ = nth term, a₁ = first term, n = the term number and d = the common difference

As a₁ = 2 and d = 4, the nth term is:

`aₙ = 2 + (n - 1) * 5`

`\: \: \: \: \: = 2 + 5n - 5`

`\: \: \: \: \: = - 3 + 5n`

i like to write the positive integer first, but its up to you either way, so

aₙ=5n-3