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1 mark

Select the number from among the given options that can replace the question mark (?) in the following series.
203,178,162,153,?

  1. A
    144
  2. B
    149
  3. C
    151
  4. D
    137

Solution & Step-by-step Explanation

Let's find the differences between consecutive terms in the series:
203−178=25

178−162=16

162−153=9

The differences are perfect squares of consecutive decreasing integers:

25=5
2


16=4
2


9=3
2


Following the same logic, the next difference must be 2
2
=4.

Next term=153−4=149

Practice this question

Try it yourself before checking the explanation above.

Select the number from among the given options that can replace the question mark (?) in the following series.
203,178,162,153,?
A
144
B
149
C
151
D
137

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