What should come in place of '?' in the given series?
7, 16, 43, ?, 367, 1096, 3283

Correct option is C

the given number series:
7, 16, 43, ?, 367, 1096, 3283
Step 1: Identify the pattern
Let's examine the ratio or difference between consecutive terms:
16 - 7 = 9
43 - 16 = 27
? - 43 = ?
367 - ? = ?
1096 - 367 = 729
3283 - 1096 = 2187
Looking at the differences:
9, 27, ?, 243, 729, 2187
Step 2: Identify the Pattern in the Differences
Observing the sequence of differences:
9, 27, ?, 243, 729, 2187
These follow a pattern of multiplying by 3:
9 × 3 = 27
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
729 × 3 = 2187
Step 3: Find the Missing Term
The missing difference is 81.
So, the missing term in the original series:
43 + 81 = 124
Final Answer:
C) 124

Alternative solution -

7, 16, 43, ?, 367, 1096, 3283

+9, +27, +81 , +243, +729, +2187 (Consecutive powers of 3 starting with 2)
? = 43 + 81 = 124

hence option c is correct.