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What are the next four numbers in the pattern below?

3, 9, 7, 11, 17, 15, ...

A. 13, 19, 17, 23


B. 13, 11, 17, 23


C. 21, 23, 17, 23



D. 21, 19, 25, 25

Respuesta :

The only answer that is the closest would be the letter choice of "D". Everything else would be incorrect and come out incorrect. The pattern is +6 -2 +4, then repeat.

This question is based on the pattern of number series. Therefore the next four terms of  series are 3, 9, 7, 11, 17, 15, 19, 25,  23,  27. All the option are incorrect.

Given:

3, 9, 7, 11, 17, 15, ...

We need to determined  the next four numbers in the pattern of the series.

As the given series is 3, 9, 7, 11, 17, 15, ...

It is observe that, pattern is repeated in series as follows:

  • First difference is addition of 6.
  • Second difference  is  subtraction of 2.
  • And, then again addition of 4.

Therefore, this pattern is repeated as follows:

3 + 6 = 9

9 - 2 = 7

7 + 4 = 11

Again, 11 + 6 = 17

17 - 2 = 15

15 + 4 = 19

Again repeated, 19 + 6 = 25

25 - 2 = 23

23 +  4 = 27

Therefore the next four terms of  series are 3, 9, 7, 11, 17, 15, 19, 25,  23,  27.

For more details, prefer this link:

https://brainly.com/question/12474324

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