Find the 12th term of the sequence 1, 2, 4, 8, 16, ______
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Find the 12th term of the sequence 1, 2, 4, 8, 16, ______
2048
2004
1210
1024
The sequence is a geometric progression with first term a = 1 and common ratio r = 2. The n-th term is a*r^(n-1), so the 12th term is 1*2^(11) = 2048.
This is a geometric progression where each term is multiplied by 2 to get the next term. The first term is 1, so the 12th term is found by multiplying 1 by 2 to the power of 11. Calculating 2 to the 11th power gives the result 2048.