Question

What is a possible value for the missing term of the geometric sequence?

1250, ___, 50, ...

Answer 1

Here, the first term of the sequence is 1250. The next term is obtained by multiplying that by the common ratio, r:

2nd term = 1250 (r) = x.
3rd term = 1250(r)(r)=50.

Find r^2.

Then find r.

then use this r to compute the 2nd term.

Answer 2

1250/50 = 25
\[\sqrt{25} = 5 \]
1250, 250, 50, 10

Thank you!

Answer 3

You're welcome! But what is the value of r? (Hint: r is not a whole number; it's a fraction.)