What will be the next term of this series? 1, 8, 27, 64, ? - mathselab.com

What will be the next term of this series? 1, 8, 27, 64, ?

Question:

What will be the next term of this series? 1, 8, 27, 64, ?

Options:

A. 86
B. 112
C. 125
D. 146


Answer:

C. 125 is the answer.

Solution:

The next term in the series 1, 8, 27, 64, is 125. This is because the series is a list of the cubes of the first 5 positive integers, starting with 1. So, the next term would be the cube of 5, which is 125.

Here is the step-by-step solution:

  1. The first term in the series is 1, which is the cube of 1.
  2. The second term in the series is 8, which is the cube of 2.
  3. The third term in the series is 27, which is the cube of 3.
  4. The fourth term in the series is 64, which is the cube of 4.
  5. The fifth term in the series is 125, which is the cube of 5.

Therefore, the next term in the series is 125.

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