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1 mark

Find the missing number in the series.
20, 35, 60, 105, 190, _____

  1. A
    225
  2. B
    280
  3. C
    560
  4. D
    355

Solution & Step-by-step Explanation

Let's look at the differences between consecutive terms:
35−20=15

60−35=25

105−60=45

190−105=85

Now, let's look at the sequence of differences: 15, 25, 45, 85.
Let's see the pattern within these differences:

25−15=10

45−25=20

85−45=40

The differences between the differences are doubling each time (10×2=20, 20×2=40).
Following this rule, the next difference increment should be:

40×2=80

So, the next difference value added to the series will be:

85+80=165

Adding this to the last term of the main series:

Missing number=190+165=355

Alternative Method:
Let's analyze each term in relation to the previous term multiplied by 2:

20×2−5=40−5=35

35×2−10=70−10=60

60×2−15=120−15=105

105×2−20=210−20=190

Following this logic (×2−multiples of 5):

Missing number=190×2−25=380−25=355

Both methods lead to 355.

Practice this question

Try it yourself before checking the explanation above.

Find the missing number in the series.
20, 35, 60, 105, 190, _____
A
225
B
280
C
560
D
355

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