Find the next term in the following series:
31, 38, 44, 51, _______.

Options

A. 58
B. 57
C. 51
D. 55

Answer

To find the next term in the series 31, 38, 44, 51, we can follow these steps:

### Step 1: Identify the given series
The series provided is:
31, 38, 44, 51

### Step 2: Calculate the differences between consecutive terms
- The difference between the first and second term:
\( 38 - 31 = 7 \)

- The difference between the second and third term:
\( 44 - 38 = 6 \)

- The difference between the third and fourth term:
\( 51 - 44 = 7 \)

### Step 3: Observe the pattern in the differences
From the calculations, we can see the differences are:
- 7 (from 31 to 38)
- 6 (from 38 to 44)
- 7 (from 44 to 51)

This indicates a repeating pattern of differences: +7, +6, +7.

### Step 4: Determine the next difference
Following the established pattern, after a +7, +6, +7, the next difference should be +6.

### Step 5: Calculate the next term
To find the next term after 51, we add 6:
\[ 51 + 6 = 57 \]

### Conclusion
Thus, the next term in the series is **57**.

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