A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
B, C, F, E, J, G, N, I, ?, ?
- AR, M
- BR, L
- CR, K
- DR, S
Solution & Step-by-step Explanation
The given series is an alternating series consisting of two separate sub-series interwoven together.
First sub-series (at odd positions: 1st, 3rd, 5th, 7th, 9th positions):
B, F, J, N, ?
Converting to numerical positions (B=2,F=6,J=10,N=14):
2
+4
6
+4
10
+4
14
+4
18⟹R
Second sub-series (at even positions: 2nd, 4th, 6th, 8th, 10th positions):
C, E, G, I, ?
Converting to numerical positions (C=3,E=5,G=7,I=9):
3
+2
5
+2
7
+2
9
+2
11⟹K
Thus, the next two missing terms are R, K.
First sub-series (at odd positions: 1st, 3rd, 5th, 7th, 9th positions):
B, F, J, N, ?
Converting to numerical positions (B=2,F=6,J=10,N=14):
2
+4
6
+4
10
+4
14
+4
18⟹R
Second sub-series (at even positions: 2nd, 4th, 6th, 8th, 10th positions):
C, E, G, I, ?
Converting to numerical positions (C=3,E=5,G=7,I=9):
3
+2
5
+2
7
+2
9
+2
11⟹K
Thus, the next two missing terms are R, K.