in an infinite geometric progression ,each term is equal to 2 times the sum of the terms that follow.if the first term of the series is 8,find the sum of the series.

I need answer with explanation..

Find the remainder when the 100-digit numbers formed by writing the consecutive natural numbers starting from 1 next to each other is divided by 16 a. 6 b. 8 c. 9 d. 10 pls help me I need answer with explanation

Find the number of numbers between 200 and 300, both included, which are not divisible by 2, 3, 4 and 5. (a) 27 (b) 26 (c) 25 (d) 28 (e) None of these

which is more likely to happen? rolling at least one 'six' in four throws of a single die or rolling at least one 'double six' in 24 throws of a pair of dice? pls show solutions.:)

At the farewell party of a certain class, having n students, if each student of the class gave one gift each to exactly k other students of the class, the number of students in the class who received at least one gift each cannot be less than

find the unit digit of lcm of 13^501-1 and 13^501+1. Give answer with solution. Only answer not needed

find the sum of the first 125 terms of the sequence 1,2,1,3,2,1,4,3,2,1.....

97.

97