Progressing
Algebra
Level
2
The first term of a geometric progression is 1.
Each successive term is 0.98 the size of the one before.
Summing it out to infinity, what is the result?
The answer is 50.
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1 solution
By the geometric progression formula, the sum is 1 / ( 1 − 0 . 9 8 ) = 1/0.02 = 50.