Question

Find a formula for the nth term

Answer 1

Given:

The first term of an arithmetic sequence = 10

Common difference = -3

To find:

The formula for nth term of the arithmetic sequence.

Solution:

The nth term of an arithmetic sequence is:

$a_n=a+(n-1)d$

Where, a is the first term and d is the common difference.

Putting $a=10$ and $d=-3$ in the above formula, we get

$a_n=10+(n-1)(-3)$

$a_n=10-3n+3$

$a_n=-3n+13$

Therefore, the required formula for the nth term of the arithmetic sequence is $a_n=-3n+13$.