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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.
Q. 5, 17, 37, 65, (____), 145
  • a)
    97                            
  • b)
    95                      
  • c)
    99                      
  • d)
    101            
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
​In this questions, a number series is given with one term missi...
The numbers are 22 + 1, 42 + 1, 6
2+ 1, 8
2+ 1,., 12
2+ 1.

.'. Missing number = 10
2+ 1 = 101.
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Most Upvoted Answer
​In this questions, a number series is given with one term missi...
2^2+1=5 ,4^2+1=17 , 6^2+1=37 ,8^2+1=65 similarly after squaring 2,4,6,8 our next even number is 10 so square it and then add 1 so our answer is 101
10^2+1=101.Hope it helps
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Community Answer
​In this questions, a number series is given with one term missi...
Pattern Analysis:

To find the missing term in the number series, let's analyze the given sequence:

Q.5, 17, 37, 65, (____), 145

Upon observing the given number series, we can identify the following pattern:

- The difference between the first and second terms is 12 (17 - 5 = 12).
- The difference between the second and third terms is 20 (37 - 17 = 20).
- The difference between the third and fourth terms is 28 (65 - 37 = 28).

Pattern Explanation:

The pattern suggests that the differences between consecutive terms are increasing by 8 each time. Therefore, we can expect the difference between the fourth and fifth terms to be 36 (28 + 8 = 36).

Calculating the Missing Term:

To find the missing term, we can take the fourth term and add the calculated difference:

65 + 36 = 101

Therefore, the missing term in the given number series is 101.

Confirmation:

Now, let's verify if the next term following 101 is 145:

101 + 36 = 137

Since 137 is not equal to 145, we can conclude that the missing term is indeed 101.

Final Answer:

Hence, the correct alternative to fill in the blank space is option 'D' - 101.
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​In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.Q.5, 17, 37, 65, (____), 145a)97 b)95 c)99 d)101Correct answer is option 'D'. Can you explain this answer?
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