Select the number from among the given options that can replace the question mark (?) in the following series.
3,23,33,43,58,88,?
- A136
- B153
- C135
- D163
Solution & Step-by-step Explanation
Let's find the differences between consecutive terms in the series:
23−3=20
33−23=10
43−33=10
58−43=15
88−58=30
Let's look at the sequence of differences: 20,10,10,15,30.
This is a multiplicative pattern:
20×0.5=10
10×1.0=10
10×1.5=15
15×2.0=30
Following the pattern, the next multiplier must be 2.5:
Next difference=30×2.5=75
Missing number=88+75=163
23−3=20
33−23=10
43−33=10
58−43=15
88−58=30
Let's look at the sequence of differences: 20,10,10,15,30.
This is a multiplicative pattern:
20×0.5=10
10×1.0=10
10×1.5=15
15×2.0=30
Following the pattern, the next multiplier must be 2.5:
Next difference=30×2.5=75
Missing number=88+75=163