Multiple choice

3, 6, 12, 24,..... is in GP. Find the 10th term of the series.

  1. 6126

  2. 1666

  3. 2048

  4. 1536
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D Correct answer
Explanation

This is a GP with a=3 and r=2. The nth term is a * r^(n-1). The 10th term is 3 * 2^(10-1) = 3 * 2^9 = 3 * 512 = 1536.

AI explanation

Using the formula for the nth term of a geometric progression, a_n = ar^(n - 1), the first term a is 3 and the common ratio r is 2. For the 10th term, this gives 3 multiplied by 2 to the power of 9, which is 3 times 512. The 10th term of the series is 1536.

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