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A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
6, 10, 18, 34, ?, 130
- a)78
- b)52
- c)66
- d)94
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A series is given, with one term missing. Choose the correct alternati...
Numbers of the form 2^n2n are added.
6 +22+22 = 10
10 +22+23 = 18
18 +22+24 = 34
34 +22+25 = 66
66 +22+26 = 130
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Community Answer
A series is given, with one term missing. Choose the correct alternati...
Series pattern:
The given series is 6, 10, 18, 34, ?, 130. We need to find the missing term in the series.
Difference between consecutive terms:
To identify the pattern in the series, let's calculate the difference between consecutive terms:
10 - 6 = 4
18 - 10 = 8
34 - 18 = 16
Increase in the difference:
We observe that the difference between consecutive terms is increasing by 4, i.e., 4, 8, 16.
Pattern in the difference:
Now, let's calculate the difference between these differences:
8 - 4 = 4
16 - 8 = 8
Increase in the difference:
We observe that the difference between the differences is increasing by 4, i.e., 4, 8.
Using the pattern:
Based on the pattern identified, we can find the missing term in the series:
34 + 16 = 50
50 + 24 = 74
74 + 32 = 106
106 + 40 = 146
The missing term is 146.
Alternative options:
Now, let's check the given options to find the correct alternative that will complete the series:
a) 78
b) 52
c) 66
d) 94
The correct alternative is option c) 66, as it is the missing term in the series and completes the given pattern.
Therefore, the correct answer is option c) 66.
The given series is 6, 10, 18, 34, ?, 130. We need to find the missing term in the series.
Difference between consecutive terms:
To identify the pattern in the series, let's calculate the difference between consecutive terms:
10 - 6 = 4
18 - 10 = 8
34 - 18 = 16
Increase in the difference:
We observe that the difference between consecutive terms is increasing by 4, i.e., 4, 8, 16.
Pattern in the difference:
Now, let's calculate the difference between these differences:
8 - 4 = 4
16 - 8 = 8
Increase in the difference:
We observe that the difference between the differences is increasing by 4, i.e., 4, 8.
Using the pattern:
Based on the pattern identified, we can find the missing term in the series:
34 + 16 = 50
50 + 24 = 74
74 + 32 = 106
106 + 40 = 146
The missing term is 146.
Alternative options:
Now, let's check the given options to find the correct alternative that will complete the series:
a) 78
b) 52
c) 66
d) 94
The correct alternative is option c) 66, as it is the missing term in the series and completes the given pattern.
Therefore, the correct answer is option c) 66.
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A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.6, 10, 18, 34, ?, 130a)78b)52c)66d)94Correct answer is option 'C'. Can you explain this answer?
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