Question

express the given sums in summation notation 10+100+1000....+100000000

Answer 1

Given series is in Geometric Progression a,ar,ar²,ar³......

Given first term a= 10, common ratio r = 10,number of terms n = 8

Therfore sum of the progression = $a(r^{n}-1 )$/r-1
                                                        =$10(10^{8}-1)$/10-1
                                                        = 111111110