MTTC 103 Elementary Practice

Question: 1 / 400

What is the next number in the pattern 2, 5, 14, 41, 122...?

244

264

422

365

To determine the next number in the sequence of 2, 5, 14, 41, 122, it's essential to identify the pattern by analyzing the relationship between the numbers.

Looking closely at how each number transforms into the next, you can observe the following pattern:

- 2 multiplied by 2 plus 1 gives 5 (2 * 2 + 1 = 5).

- 5 multiplied by 2 plus 4 gives 14 (5 * 2 + 4 = 14).

- 14 multiplied by 2 plus 13 yields 41 (14 * 2 + 13 = 41).

- 41 multiplied by 2 plus 40 results in 122 (41 * 2 + 40 = 122).

The pattern suggests that each subsequent number is derived from the previous one by multiplying by 2 and then adding a certain value, which appears to be increasing. The considerations for the added values show that the sequence of additions follows 1, 4, 13, and 40, which themselves represent a pattern where each number is increasing.

Continuing with this pattern for the next number, one should multiply 122 by 2 and then add the next

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