Find the Sum of the Infinite Geometric Series 16 , 4 , 1 , 1/4

Math
, , ,
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .
Geometric Sequence:
The sum of a series is calculated using the formula . For the sum of an infinite geometric series , as approaches , approaches . Thus, approaches .
The values and can be put in the equation .
Simplify the equation to find .
Tap for more steps…
Simplify the denominator.
Tap for more steps…
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps…
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Subtract from .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Tap for more steps…
Combine and .
Multiply by .
Find the Sum of the Infinite Geometric Series 16 , 4 , 1 , 1/4

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top