Find the next number in the series 536, 458, 382, 308, 236, _______a.166b.146c.158d.174
Question
Find the next number in the series
Series: 536, 458, 382, 308, 236, _______
Options:
- a. 166
- b. 146
- c. 158
- d. 174
Solution
1. ### Break Down the Problem
To solve this sequence, we need to understand the pattern between the numbers provided. The numbers are:
- 536
- 458
- 382
- 308
- 236
2. ### Relevant Concepts
We will look for a consistent difference between consecutive numbers to identify a pattern.
3. ### Analysis and Detail
Calculating the differences between each consecutive pair of numbers:
The differences we have are:
- 78, 76, 74, 72
It appears that the differences are decreasing by 2 each time. If this pattern continues, the next difference should be .
Now, we can find the next number in the series:
4. ### Verify and Summarize
The next number in the sequence is calculated by subtracting the next difference (70) from the last number (236), yielding 166.
Final Answer
The next number in the series is 166 (option a).
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