Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

Question

2 years ago

11

n begins with 1.)
{2, 6, 10, 14, 18, . . . }

1 answer:

sveta [45] · Answer 1 · 2023-10-16T11:08:31+03:00

The formula for the general term of the sequence is Tn = 4n - 2

<h3>How to determine the formula?</h3>

The sequence is given as:

{2, 6, 10, 14, 18, . . . }

The above sequence is an arithmetic sequence with the following features:

The formula for the general term is calculated using:

Tn = a + (n - 1) * d

This gives

Tn= 2 + (n - 1) * 4

Expand

Tn = 2 + 4n - 4

Evaluate the like terms

Tn = 4n - 2

Hence, the formula for the general term of the sequence is Tn = 4n - 2