Select the number from among the given options that can replace the question mark (?) in the following series.
15,20,45,170,?
- A645
- B795
- C520
- D840
Solution & Step-by-step Explanation
Let's find the difference pattern between consecutive terms of the series:
20−15=5
45−20=25
170−45=125
The differences are powers of 5:
5=5
1
25=5
2
125=5
3
Following this pattern, the next difference must be 5
4
=625.
Therefore, the next number in the series will be:
170+625=795
20−15=5
45−20=25
170−45=125
The differences are powers of 5:
5=5
1
25=5
2
125=5
3
Following this pattern, the next difference must be 5
4
=625.
Therefore, the next number in the series will be:
170+625=795