Question

Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = -226.

-334
-274
-284
-346

Answer 1

would the answer be -284?

Answer 2

no :s

Answer 3

well you need to find the common difference

-226 = 26 + (22 -1) d

- 252 = 21d

solve for d to find the common differrence.

next use the formula for a term in an arithmetic series

\[T_{31} = 26 + (31 -1)d\]

and evaluate

Answer 4

now i got -334........ is that correct

Answer 5

thats it

Answer 6

okay thank you