Question

(08.01)
Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = −226. (2 points)


−334
−274
−284
−346
Score: 2 of 2

Answer 1

Identify first the common difference of the arithmetic sequence by the following,
 
                                           d = (a22 - a1) / 22 - 1 
 
                                       d = (-226 - 26) / 22 -1 = -12

Solving for the 31st term, 
 
                                      a31 = a1 + (n - 1)d
 
                                   a 31 = 26 + (31 - 1)(-12)

                                       a 31 =  -334

Therefore, the answer is letter A. -334. 

Answer 2

Here is your answer:

In order to find the answer to this question you will have too:

1. Identify first the common difference of the arithmetic sequence....

2. Solve for the term.....

3. Then you will have your answer!

$\frac{d=(a^{22} - a^1)}{22-1}$

$\frac{d=(-226-26)}{22-1=-12}$

$a^{31} = a^1 + (n - 1)d$

$a^{31} = 26 + (31 - 1)(-12)$

$a^{31} = -334$

Which would mean your answer is option A "-334."

Hope this helps!

Nonportrit