Question

What is the value of the geometric sequence for which a1=10 and r=0.5?

Answer 1

The formula for an infinite geometric sequence is the following:


`S_(∞)= (a_(1))/(1-r)`

Just substitute the values of
`a_(1)` and r into the formula.


`S_(∞)=(10)/(1-0.5)`

`S_(∞)=(10)/(0.5)`

`S_(∞)= 20`

Therefore, the answer is 20.