Instructions

In each of the following questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

Question 177

0, 6, 24, 60, 120, 210, ….

Solution

The difference between the differences of each term is in increasing order of multiples of 6.
6-0=6
24-6=18
60-24=36
120-60=60
210-120=90
Difference between differences :
18-6 = 12 (6$$\times$$ 2)
36-18=18(6$$\times$$ 3)
60-36=24(6$$\times$$ 4)
90-60=30(6$$\times$$ 5)
The next value mustbe 36.
The difference between 90 and the next term in the series must be 36 more than 90 which is 126.
The next term of the series is 126 more than 210 which is 336.
Hence Option A is the correct answer.


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