Question 1007831
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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 <A HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Geometric-progressions.lesson>Geometric progressions</A> in this site)

S = {{{a}}} + {{{aq}}} + {{{aq^2}}} + . . . + {{{aq^(n-1)}}} = 

    {{{a*(q^n-1)/(q-1)}}} = {{{8*(2^8-1)/(2-1)}}} = {{{8*(2^8-1)}}} = 8*255 = 2040
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