The formula for the nth term of the given sequence 160, 200, 250 is: an = 160 * (1.25)^(n-1)
The formula for the nth term of the given sequence 160, 200, 250 can be found using the general formula for geometric sequences. A geometric sequence has a common ratio between consecutive terms. In this case, the common ratio is 1.25 (200/160=1.25, 250/200=1.25). So the formula for the nth term is:
an = 160 * (1.25)^(n-1)
For example, to find the 4th term:
a4 = 160 * (1.25)^(4-1) = 160 * (1.25)^3 = 160 * 1.953125 = 312.5
The probable question may be:
What is a formula for the nth term of the given sequence?
160, 200, 250....
> an= 128(4/5)^1-n
> an= 160(5/4)^1-n
> an= 160(4/5)^1-n
> an= 128(5/4)^n-1