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What will come in place of question mark...

What will come in place of question mark (?) inthe following number series'
23 32 45 62 83 ?

A

116

B

106

C

102

D

None of the above

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series 23, 32, 45, 62, 83, ?, we can analyze the differences between consecutive terms. 1. **Calculate the differences between consecutive terms:** - 32 - 23 = 9 - 45 - 32 = 13 - 62 - 45 = 17 - 83 - 62 = 21 So, the differences are: 9, 13, 17, 21. 2. **Identify the pattern in the differences:** - The differences themselves are increasing: - 13 - 9 = 4 - 17 - 13 = 4 - 21 - 17 = 4 This shows that we are adding 4 to the previous difference. 3. **Find the next difference:** - The next difference after 21 would be: - 21 + 4 = 25 4. **Calculate the next term in the series:** - To find the next term after 83, we add the next difference (25) to the last term (83): - 83 + 25 = 108 Thus, the missing number in the series is **108**.
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