SUM OF INFINITE GEOMETRIC SERIES WORKSHEET

Find these sums to infinity, where they exist.

Problem 1 :

80 + 20 + 5 + 1.25 + …

Solution

Problem 2 :

180 – 60 + 20 – 20/3 + …

Solution

Problem 3 :

2 + 1.98 + 1.9602 + …

Solution

Problem 4 :

-100 + 110 – 121 + …

Solution

Problem 5 :

1/10 + 1/100 + 1/1000 + …

Solution

Problem 1 :

Express 0.37373737… as an infinite geometric series and find the fraction it represents.

Solution

Problem 2 :

0.52525252…

Solution

Problem 3 :

0.358358358…

Solution

Problem 4 :

0.194949494…

Solution

Convert the following recurring decimals to fractions :

Problem 1 :

0.333….

Solution

Problem 2 :

0.444….

Solution

Convert the following recurring decimals to fractions:

Problem 3 :

1.0909….

Solution

Problem 4 :

2.0909….

Solution

Problem 5 :

0.5333….

Solution

Problem 6 :

1.7333….

Solution

Problem 7 :

0.9444….

Solution

Problem 8 :

2.0555…

Solution