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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, 9, 17, 29, 45, (___)
  • a)
    65                            
  • b)
    60                      
  • c)
    70            
  • d)
    68
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In this questions, a number series is given with one term missing. Cho...
The pattern is + 4, + 8, + 12, + 16, ...
.'. Missing number = 45 + 20 = 65.
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Most Upvoted Answer
In this questions, a number series is given with one term missing. Cho...
5 + 4 = 9; 9 + 8 =17; 17 + 12 =29; 29 + 16 =45; 45 + 20= 65. Here the difference in between two no.s is increasing. in multiples of 4.
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Community Answer
In this questions, a number series is given with one term missing. Cho...
Understanding the Series
The given series is: 5, 9, 17, 29, 45, (____). To find the missing term, we need to identify the pattern by looking at the differences between consecutive terms.
Finding the Differences
- The difference between 5 and 9:
9 - 5 = 4
- The difference between 9 and 17:
17 - 9 = 8
- The difference between 17 and 29:
29 - 17 = 12
- The difference between 29 and 45:
45 - 29 = 16
Now we have the differences:
4, 8, 12, 16
Recognizing the Pattern in Differences
The differences themselves form a new series:
4, 8, 12, 16.
- The difference between these terms is consistent:
8 - 4 = 4
12 - 8 = 4
16 - 12 = 4
The differences increase by 4 each time.
Continuing the Pattern
Following this pattern, the next difference should be:
16 + 4 = 20
Now, adding this difference to the last term in the original series:
45 + 20 = 65
Conclusion
Thus, the missing term in the series is 65. Therefore, the correct answer is option 'A'.
- So the complete series becomes: 5, 9, 17, 29, 45, 65.
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