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What will be the 7th term of the geometric sequence 1, 4, 16, ...?*1 pointA. 1024B. 4096C. 16384D. 32768

Question

What will be the 7th term of the geometric sequence 1, 4, 16, ...?*1 pointA. 1024B. 4096C. 16384D. 32768

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Solution

The 7th term of a geometric sequence can be found using the formula:

a_n = a_1 * r^(n-1)

where: a_n is the nth term we're looking for, a_1 is the first term in the sequence, r is the common ratio, and n is the position of the term.

In this case, a_1 is 1, r is 4 (since each term is 4 times the previous term), and n is 7.

So, the 7th term is:

a_7 = 1 * 4^(7-1) = 1 * 4^6 = 1 * 4096 = 4096

So, the 7th term of the sequence is 4096. Therefore, the correct answer is B. 4096.

This problem has been solved

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