Question 742211

{{{1+ 1/4+ 1/16+ 1/64 }}}+..

the ratio by which the terms increase is {{{1/4}}} (if you multiply first term by {{{1/4}}} you get second term {{{1/4}}},if you multiply second term by {{{1/4}}} you get {{{(1/4)(1/4)=1/16}}}, etc.)  



{{{Sn = a1(1-r^n) / (1-r)}}}........... In this equation, 
"{{{Sn}}}" is the sum of the geometric series, "{{{a[1]}}}" is the first term in the series, "{{{n}}}" is the number of terms and "{{{r}}}" is the ratio by which the terms increase