High School

What is the next number in the sequence?

183, 189, 63, 69, 23, 29

A. 16.5
B. 12
C. 10
D. 9.67
E. 8.75
F. 25

Answer :

Final answer:

The sequence follows a pattern where each number pair differs by 6, and each subsequent pair is a third of the preceding pair. Hence, the next number in the sequence 183, 189, 63, 69, 23, 29 is 9.67.

Explanation:

The sequence provided in the question is 183, 189, 63, 69, 23, 29. To identify the pattern and ascertain the next number in the sequence, we need to analyze the differences between consecutive numbers.

Observably, each pair of numbers differ by 6 (189-183=6, 69-63=6, 29-23=6). However, when moving from one pair to the next, we encounter a significant decrease in magnitude. This decrease follows a division pattern - each subsequent pair is a third part of the preceding pair (189/3 ≈ 63, 69/3 ≈ 23). Hence, the next pair should follow a similar pattern.

Given this pattern setup, the next number should be 29/3, which equals approximately 9.67 (rounded to nearest hundredths).

Consequently, Option d. '9.67' is the correct answer to the question of what would be the next number in the sequence 183, 189, 63, 69, 23, 29.

Learn more about Number Sequences here:

https://brainly.com/question/32776026

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