Question Details

What should come in place of the question mark (?) in the given series?
6 19 45 97 201 ?

Options

A

400

B

406

C

403

D

409

Show Answer

Correct Answer :

Option D

409

Solution :

The correct option is 409.

To find the missing number in the series, let us analyze the pattern between consecutive terms:
6, 19, 45, 97, 201, ?

Let's look at the relationship between each number and the next one:

1st term to 2nd term:
6 × 2 + 7 = 12 + 7 = 19

2nd term to 3rd term:
19 × 2 + 7 = 38 + 7 = 45

3rd term to 4th term:
45 × 2 + 7 = 90 + 7 = 97

4th term to 5th term:
97 × 2 + 7 = 194 + 7 = 201

Following the same pattern, we multiply the 5th term by 2 and add 7 to get the next term:

201 × 2 + 7 = 402 + 7 = 409

Thus, the number that should come in place of the question mark is 409.

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