Question

Write an equation for the following sequence:-3, 1, 5, 9, 13, ......use: an=d(n-1)+a1

Answer 1

`a_n=-3+4(n-1)`

Explanation:

This sequence can be interpreted as an arithmetic sequence, which has a general equation in the following format:

`a_n=a_1+d(n-1)`

In which a1 is the first term and d is the common ratio(the difference between the consecutive terms.

In this sequence:

The first term is -3.

The common ratio is ... = 9 - 5 = 5 - 1 = ... = 4

So the equation for the sequence is:

`a_n=-3+4(n-1)`