Which of the following term will replace the question mark (?) in the given series.
7, 3, 6, 7, 5, 11, ?
- A55
- B44
- C4
- D22
Solution & Step-by-step Explanation
Let's analyze the series by splitting it into two alternating series:
First alternating series (at 1
st
,3
th
,5
th
,7
th
positions):
7,6,5,?
The pattern here is a simple subtraction of 1:
7−1=6
6−1=5
5−1=4
Second alternating series (at 2
nd
,4
th
,6
th
positions):
3,7,11
The pattern here is adding 4:
3+4=7
7+4=11
The missing term belongs to the first alternating series following 5. Thus, the missing number is 5−1=4.
First alternating series (at 1
st
,3
th
,5
th
,7
th
positions):
7,6,5,?
The pattern here is a simple subtraction of 1:
7−1=6
6−1=5
5−1=4
Second alternating series (at 2
nd
,4
th
,6
th
positions):
3,7,11
The pattern here is adding 4:
3+4=7
7+4=11
The missing term belongs to the first alternating series following 5. Thus, the missing number is 5−1=4.