Consider the arithmetic sequence where the 15th term is 0 and the 40th term is -50.
Find the formula of the nth term of the sequence.

Step-by-step explanation:

We want to find the formula for this problem in the explicit form of:

, where is the nth term, is the first term, and d is the common difference

Here, we can say that the "first term" is the 15th term, which is 0, so instead of a_1, we have a_15. The nth term is the 40th term, which is -50, so instead of a_n, we have a_40:

d = -2

Now, we need to find the first term:

a_1 = 28

Finally, our equation is:

Hope this helps!

step-by-step explanation:

0