SOLUTION: Find the sum of the infinite geometric series, if possible. 140 + 70 + 35 + . . .

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Question 387760: Find the sum of the infinite geometric series, if possible.
140 + 70 + 35 + . . .
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
140+%2B+70+%2B+35+%2B+.................since 70=%281%2F2%29140 and 35=%281%2F4%29140 you will have:

=140(1+1/2+1/4+....+)
= 140 * Sum [(1/2)^n] (n -> infinity)
= 140 * 1/(1 - 1/2).........(Property of infinite geometric series for 0+%3C+r+%3C+1%29
= 140 * 2
= 280