Question

Find an equation for the nth term of the arithmetic sequence.

a14 = -33, a15 = 9

a. an = -579 + 42(n + 1)

b. an = -579 + 42(n - 1)

c. an = -579 - 42(n + 1)

d. an = -579 - 42(n - 1)

Answer 1

The general term for any arithmetic sequence is
an = a + (n-1)d
a14 and a15 are given - so you can find the values of a and d using them in the above equation

Answer 2

you can also straight away find d
d = difference of any two consecutive terms of an AP= a15 - a14

Answer 3

so d = 9-(-33) = 42

Answer 4

would it be option b? that is what i got after using the formula you gave

Answer 5

yeah b it is

Answer 6

okay! thank you so much:)

Answer 7

you are welcome