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17, 19, 22, 27, 34, 45, …....

17, 19, 22, 27, 34, 45, ….

A

58

B

57

C

56

D

59

Text Solution

AI Generated Solution

The correct Answer is:
To find the next number in the series 17, 19, 22, 27, 34, 45, we can analyze the pattern of differences between consecutive terms. 1. **Identify the series**: The given series is 17, 19, 22, 27, 34, 45. 2. **Calculate the differences**: - 19 - 17 = 2 - 22 - 19 = 3 - 27 - 22 = 5 - 34 - 27 = 7 - 45 - 34 = 11 So, the differences between the terms are: 2, 3, 5, 7, 11. 3. **Identify the pattern in the differences**: The differences are: 2, 3, 5, 7, 11. These numbers are all prime numbers. 4. **Find the next prime number**: The next prime number after 11 is 13. 5. **Add the next prime number to the last term**: - 45 + 13 = 58. Therefore, the next number in the series is **58**.

To find the next number in the series 17, 19, 22, 27, 34, 45, we can analyze the pattern of differences between consecutive terms. 1. **Identify the series**: The given series is 17, 19, 22, 27, 34, 45. 2. **Calculate the differences**: - 19 - 17 = 2 - 22 - 19 = 3 - 27 - 22 = 5 ...
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