Select the number from among the given options that can replace the question mark (?) in the following series.
14,19,34,79,?
- A186
- B144
- C214
- D227
Solution & Step-by-step Explanation
Let's find the difference between consecutive terms:
19−14=5
34−19=15
79−34=45
Notice the pattern in the differences:
5×3=15
15×3=45
The differences are being multiplied by 3 at each step. Following this pattern, the next difference should be:
45×3=135
Therefore, the missing number is:
79+135=214
19−14=5
34−19=15
79−34=45
Notice the pattern in the differences:
5×3=15
15×3=45
The differences are being multiplied by 3 at each step. Following this pattern, the next difference should be:
45×3=135
Therefore, the missing number is:
79+135=214