Question

Write an equation for the nth term of each arithmetic sequence. Then find the 12th term of the sequence.

as = -9, d = 2

Answer 1

Step-by-step explanation:The equation for the nth term of an arithmetic sequence is given by:

an = a1 + (n-1)d

Where:

a1 is the first term of the sequence

d is the common difference

n is the number of the term we want to find

Using the given information, we have:

a1 = -9 and d = 2

Plugging these values into the formula, we get:

an = -9 + (n-1)2

To find the 12th term of the sequence:

n = 12

an = -9 + (12-1)2

an = -9 + 11 * 2

an = -9 + 22

an = 13

So the 12th term of the sequence is 13.