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A series is given with one term missing....

A series is given with one term missing. Choose the correct alternative from the given ones:
निम्नलिखित प्रत्येक प्रश्न में एक अनुक्रम दिया है, जिसमें एक पद लुप्त है। दिये गये विकल्पों में से सही विकल्प चुनिये जो अनुक्रम को पूरा करे :
8,15,28,53,?

A

106

B

100

C

108

D

102

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing term in the series 8, 15, 28, 53, ?, we can analyze the pattern in the sequence. ### Step-by-Step Solution: 1. **Identify the Pattern**: - Let's look at the differences between consecutive terms. - The first term is 8. - The second term is 15. The difference is \(15 - 8 = 7\). - The third term is 28. The difference is \(28 - 15 = 13\). - The fourth term is 53. The difference is \(53 - 28 = 25\). 2. **List the Differences**: - The differences we calculated are: - \(15 - 8 = 7\) - \(28 - 15 = 13\) - \(53 - 28 = 25\) 3. **Identify the Pattern in Differences**: - The differences are 7, 13, and 25. - Now, let's find the differences between these differences: - \(13 - 7 = 6\) - \(25 - 13 = 12\) 4. **Continue the Pattern**: - The differences between the differences are 6 and 12. - It seems like the difference is increasing by 6 each time. - The next difference should be \(12 + 6 = 18\). 5. **Calculate the Next Difference**: - The next difference after 25 would be \(25 + 18 = 43\). 6. **Find the Missing Term**: - To find the missing term, we add this new difference to the last known term (53): - \(53 + 43 = 96\). 7. **Final Calculation**: - Therefore, the missing term in the series is 96. ### Conclusion: The missing term in the series 8, 15, 28, 53, ? is **96**.

To find the missing term in the series 8, 15, 28, 53, ?, we can analyze the pattern in the sequence. ### Step-by-Step Solution: 1. **Identify the Pattern**: - Let's look at the differences between consecutive terms. - The first term is 8. - The second term is 15. The difference is \(15 - 8 = 7\). ...
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