Question

What is a possible value for the missing term of the geometric sequence? 1250 , _ , 50 , ...

Answer 1

The number could be 250. The reason why is because 1250 divided by 5 = 250, and 250 divided by 5 = 5. Hope this helps you, and good luck!!

Answer 2

Hence, the possible missing number is:

250 or -250

Explanation:

We have to find the missing term in the given geometric sequence.

1250 , _ , 50 , ...

Let a denote the first term of the sequence and r denote the common ratio of the geometric sequence then the geometric sequence is defined as:

`a,ar,ar^2,ar^3,......`

Let:

`a=1250, ar, ar^2=50`

so that means:

`1250* r^2=50\\\\r^2=(50)/(1250)\\\\r^2=(1)/(25)\\\\r=\pm (1)/(5)`

so, the possible missing number is calculated at two values of r.

Hence, the missing number is:

`ar=1250* (1)/(5)\\\\ar=250` or

`ar=1250* (-1)/(5)\\\\ar=-250`