What is the value of k in the sequence 1, 5, 11, 19, k, 41, 55?
- 29
- 33
- 20
- None of these
Explanation
Let's examine the sequence:
1, 5, 11, 19, k, 41, 55
The differences between consecutive terms are:
+4 (5 - 1)
+6 (11 - 5)
+8 (19 - 11)
The pattern of differences is increasing by 2 each time (+4, +6, +8, ...). If this pattern continues:
+10 would be the next difference (19 + 10 = 29)
So, k = 29.
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