Find the sum of the following geometric series: `\ sqrt(2)+1/(sqrt(2))+1/(2sqrt(2))+ to\ 8\ t e r m s ;`

Find the sum of the following geometric series: sqrt(7),sqrt(21),3sqrt(7),\ to\ n terms.

Find the sum of the following series: (sqrt(2)+1)+1(sqrt(2)-1)+.......+oo

Find the sum of the following series to infinity: 8+4sqrt(2)+4+ddotoo

Find the sum of the following geometric series: 0. 15+0. 015+0. 0015+ to\ 8\ t e r m s

Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

Sum the following geometric series to infinity: (sqrt(2)+1)+1+(sqrt(2)-1)+oo 1/2+1/(3^3)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+oo

If sqrt(2)=1.414,sqrt(3)=1.732 , find the value of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)" "(ii)(sqrt(3)-1)/(sqrt(3)+1)" "(iii)(2+sqrt(6))/(sqrt(2))

sqrt 2(sqrt 2+1) - sqrt 2 (1+sqrt2) =?

Sum the series to infinity : sqrt(2)- (1)/(sqrt(2))+(1)/(2(sqrt(2)))-(1)/(4sqrt(2))+ ....

Two poles are a metres apart and the height of one is double of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the smaller is (a) sqrt(2)am e t r e s (b) a/(2sqrt(2))m e t r e s (c) a/(sqrt(2))m e t r e s (d) 2am e t r e s