Find the 23rd term in the sequence 2, 6, 10, 14, 18, 22

Hello!

First you have to find the rule that the sequence is going by

6 - 2 = 4
10 - 6 = 4
14 - 10 = 4
18 - 14 = 4

They add 4 to the number every time

To find the 23rd term you multiply the rate by the term you want

23 * 4 = 92

Next you subtract the first number

92 - 2 = 90

The answer is 90

Hope this helps!

90

Step-by-step explanation:

The sequence 2, 6, 10, 14, 18, 22... is an arithmetic sequence with a common difference, CD, of 6 - 2 = 4

Using the general expression of An = A0 + (n-1)*CD,

the 23rd term, A23 = 2 + (23-1)*4

= 90

The answer is B, if you add all the sides of everything up it is equivalent to 38.26.