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#3

Find an equation for the nth term of the arithmetic sequence.
a14 = -33, a15 = 9

Answer Choices
A: an = -579 + 42(n + 1)
B: an = -579 + 42(n - 1)
C: an = -579 - 42(n + 1)
D: an = -579 - 42(n - 1)

Respuesta :

Let's see if we can't be logical here......Pick a formula and see what it yields. For example, choose D.

For n = 1 ---> -1 x 4^1 ----> -1 x 4 = -4, when the correct value is 1. Therefore D is out.

Try C. For n = 1 ---> 1 x 4^(1-1) ---> 1 x 4^0 ----> 1 x1 ---> 1, So it is correct for n =1. How about
n=2? 1 x 4^(2-1) = 1 x 4^1 = 1 x 4 = 4, when the correct answer is -4. Therefore C is out

I'm sure you can do the remaining two choices....

Answer is B

just substitute 15 in and the answer comes out as 9

same with a14. substitute 14 and you get -33