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Question

Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8...... The 1025th term of this sequence is 2n, then n is equal to

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Solution

1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,.....
1+2+4+8=15=2n1
1+2+4+8+16+.....512=1023
i.e., 1023th term is 512 and 1024th term is 1024.
Also, 1025th term is 1024.
i.e., 210

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