Answer:
a16 = 148
Step-by-step explanation:
There are other ways to do this, but the simplest way to get to a1 is just to subtract two terms you know to get d.
a6 - a5 = 42 - 32 = 10
so a4 = a6 - a5 = 42 - 32 = 10
a4 = 32 - 10 = 22 [a5 - 10]
a3 = 22 - 10 = 12 [a4 - 10]
a2 = 12 - 10 = 2 [a3 - 10]
a1 = 2 - 10 = - 8 [a2 - 10]
Givens
a1 = - 8
d = 10
Term number = n = 16
Formula
an = a1 + (n - 1)*d
Solution
n = 16
a1 = - 2
d = 10
a16 = -2 + (16 - 1) * 10
a16 = -2 + 15*10
a16 = -2 + 150
a16 = 148
