Question

Write an equation and find the 10th term of the sequence 4500, 1500, 500, 166.67...

Answer 1

10th term = .076208...

Explanation:

The sequence is a geometric sequence

Use the formula

`a_(n) = ar^(n - 1)` where "a" is the first term, r is the common ratio and n is which term in the sequence.

So, in your problem a = 4500, r = 1500/4500 = 1/3 and n = 10

`a_(10) = 4500(1/3^(10 - 1) )`

= 4500(1/59049) = .076208...