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Find the next term in the below series. ...

Find the next term in the below series.
25, 31, 38, 46, _____.

A

58

B

55

C

54

D

60

Text Solution

AI Generated Solution

The correct Answer is:
To find the next term in the series 25, 31, 38, 46, we can follow these steps: 1. **Identify the given series**: The series is 25, 31, 38, 46. 2. **Calculate the differences between consecutive terms**: - Difference between 31 and 25: \( 31 - 25 = 6 \) - Difference between 38 and 31: \( 38 - 31 = 7 \) - Difference between 46 and 38: \( 46 - 38 = 8 \) 3. **List the differences**: The differences we calculated are: - First difference: 6 - Second difference: 7 - Third difference: 8 4. **Observe the pattern in the differences**: The differences are increasing by 1 each time: - From 6 to 7, the increase is 1. - From 7 to 8, the increase is also 1. 5. **Predict the next difference**: Following the pattern, the next difference should be: - \( 8 + 1 = 9 \) 6. **Calculate the next term**: Add this next difference to the last term in the series: - \( 46 + 9 = 55 \) Thus, the next term in the series is **55**.
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