**Question:**

## What will be the next term of this series? 5, ?, 6, 9, 7, 10

**Options:**

A. 12

B. 11

C. 8

D. 4

**Answer:**

**C. 8 is the answer.**

**Solution:**

The next term in the series 5, ?, 6, 9, 7, 10 is **8**.

The series is a combination of two alternating arithmetic progressions. The first progression starts with 5 and increases by 1 each time. The second progression starts with 6 and increases by 3 each time.

To find the next term, we simply take the next term from the first progression and add it to the next term from the second progression. This gives us 5 + 1 + 6 + 3 = **8**.

Here is a step-by-step solution:

- The first term in the first progression is 5.
- The common difference in the first progression is 1.
- The first term in the second progression is 6.
- The common difference in the second progression is 3.
- The next term in the series is 5 + 1 + 6 + 3 =
**8**.

**Here is the complete series:**

`5, 7, 6, 9, 7, 10, 8, 13, 9, 16, ...`

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