Question

I NEED SOME HELP?

Answer 1

Answer:

58

Step-by-step explanation:

We are given the arithmetic sequence:-

-12,-7,-2,3,...

First, find the common difference which we can obtain by:-

$\displaystyle \large{d = a_{n + 1} - a_n}$

Check:-

-7-(-12) = -7+12 = 5

-2+7 = 5

3+2 = 5

Therefore, our common difference is 5.

General Arithmetic Term

$\displaystyle \large{a_n = a_1 + (n - 1)d}$

Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.

$\displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58}$

Answer 2

The answer is 63 :))