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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
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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:

  • 536458=78536 - 458 = 78
  • 458382=76458 - 382 = 76
  • 382308=74382 - 308 = 74
  • 308236=72308 - 236 = 72

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 722=7072 - 2 = 70.

Now, we can find the next number in the series:

  • 23670=166236 - 70 = 166

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).

This problem has been solved

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