What is the value of k in the sequence 1, 6, 13, k, 33, 46?
- 20
- 21
- 22
- None of these
Explanation
The sequence is formed by increasing differences: +5 (from 1 to 6), +7 (from 6 to 13), and if the pattern continues with differences increasing by 2 each time, the next difference should be +9.
Let's calculate the value of k:
1 + 5 = 6
6 + 7 = 13
13 + 9 = 22
So, the sequence would be 1, 6, 13, 22, 33, 46. Therefore, the value of k is 22.
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- None of these
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- 220
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