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

Answer:

Hence, the possible missing number is:

250 or -250

Step-by-step 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:

$1250\times r^2=50\\\\r^2=\dfrac{50}{1250}\\\\r^2=\dfrac{1}{25}\\\\r=\pm \dfrac{1}{5}$

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

Hence, the missing number is:

$ar=1250\times \dfrac{1}{5}\\\\ar=250$ or

$ar=1250\times \dfrac{-1}{5}\\\\ar=-250$