SOLUTION: I need help trying to figure out what the partial sum of the first eight terms for the series 8+16+32+....

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Question 1007831: I need help trying to figure out what the partial sum of the first eight terms for the series 8+16+32+....
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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I need help trying to figure out what the partial sum of the first eight terms for the series 8+16+32+....
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You have the sum of first eight terms of geometric progression with the first term 8 and the common ratio 2.

Use the formula for the sum of first n terms of geometric progression
(see the lesson Geometric progressions in this site)

S = a + aq + aq%5E2 + . . . + aq%5E%28n-1%29 = 

    a%2A%28q%5En-1%29%2F%28q-1%29 = 8%2A%282%5E8-1%29%2F%282-1%29 = 8%2A%282%5E8-1%29 = 8*255 = 2040