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3 Answers

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The question is somewhat wrong because it must be 1+2+4+8+16+32+....+1000th term

However , now coming to the point 

      1+2+4+8+16+32+..+1000th term

=> 1+(21+22+23+24+....+2999)

=> 1+{2(2999-1)}...This is the correct answer.

 As we all know Sn= Summation of n number digits in a series is= 2(2n-1)

by 3
0 votes

S=1+2+4+8+16+32+...........

Therefore this is geometric series.

S=1+2+4+8+16+...............+2999

S=(21000-1)/(2-1)

S=21000-1

by 1
0 votes
The question is somewhat wrong because it must be 1+2+4+8+16+32+....+1000th

      1+2+4+8+16+32+..+1000th term

=> 1+(21+22+23+24+....+2999)

=> 1+{2(2999-1)}... I also work it that the answer 
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