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Find the next term in the following terms.
13, 25, 41, 61, 85, ?
  • a)
    112
  • b)
    113
  • c)
    114
  • d)
    115
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the next term in the following terms.13, 25, 41, 61, 85, ?a)112b)...
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Most Upvoted Answer
Find the next term in the following terms.13, 25, 41, 61, 85, ?a)112b)...
5
13 -5 =8
25 -13 =12 , 8+4=12
41 - 25 = 16 , 12+4=16
61- 41=20 , 16+4=20
85–61 =24 , 20+4 =24
113 - 85=28 , 24+4=28
, 13 , 25 , 41 , 61 , 85 , 113
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Community Answer
Find the next term in the following terms.13, 25, 41, 61, 85, ?a)112b)...
Sequence Analysis
To find the next term in the sequence 13, 25, 41, 61, 85, let's first analyze the differences between consecutive terms.
Finding Differences
- 25 - 13 = 12
- 41 - 25 = 16
- 61 - 41 = 20
- 85 - 61 = 24
Now, we have the following differences:
- 12, 16, 20, 24
Identifying the Pattern
Next, we find the differences between these differences:
- 16 - 12 = 4
- 20 - 16 = 4
- 24 - 20 = 4
The second-level differences are constant at 4, indicating that the first-level differences are increasing linearly.
Calculating the Next Difference
Since the last difference is 24, we can predict the next difference by adding 4:
- Next difference = 24 + 4 = 28
Finding the Next Term
Now, we add this new difference to the last term in the original sequence:
- Next term = 85 + 28 = 113
Therefore, the next term in the sequence is 113.
Final Answer
The correct answer is option 'B': 113.
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Find the next term in the following terms.13, 25, 41, 61, 85, ?a)112b)113c)114d)115Correct answer is option 'B'. Can you explain this answer?
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