Math Problem Statement

15, 28, 54, 93, ?, 210. What is the missing number in the sequence?

Solution

The sequence provided in the image is:

15, 28, 54, 93, ?, 210

We need to determine the missing number in this series.

Step-by-step analysis:

Let's look at the differences between consecutive terms:

  1. 2815=1328 - 15 = 13
  2. 5428=2654 - 28 = 26
  3. 9354=3993 - 54 = 39

It seems like the difference between consecutive terms is increasing by 13. Therefore, the next difference should be 39+13=5239 + 13 = 52.

Adding this to the last known term:

93+52=14593 + 52 = 145

Thus, the missing number is 145.

Final sequence:

15, 28, 54, 93, 145, 210

The correct option is 145.

Would you like more details on this or have any questions?


Here are 5 related questions:

  1. What kind of sequences have constant differences like this one?
  2. How do you identify a pattern in a sequence quickly?
  3. Could a sequence involve alternating operations instead of differences?
  4. What happens if the differences aren't consistent in arithmetic terms?
  5. How do geometric sequences differ from arithmetic sequences?

Tip: When working with sequences, always check the differences between terms first; if they don't match a pattern, consider squares, cubes, or other operations!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Pattern Recognition

Formulas

Difference between consecutive terms

Theorems

Arithmetic Progression

Suitable Grade Level

Grades 6-8