Question

12,28,75,316,1555,____

Answer 1

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Answer 2

The missing number is 9366

Given:

The series - 12,28,75,316,1555,____

To Find:

The missing number in the series

Solution:

The given series follows the pattern of multiplication in ascending numbers and then squaring the ascending numbers -

Further, there is addition and subtraction alternatively between the numbers -

This can be noted as -

12 × 2 + 2² ( Addition)

= 24 + 4

= 28

28 × 3 - 3² ( Subtraction)

= 84 - 9

= 75

75 × 4 + 4² ( Addition)

= 300 + 16

= 316

316 × 5 - 5²

= 1580 - 25 ( Subtraction)

= 1555

1555 × 6 + 6² ( Addition)

= 9330 + 36

= 9366.

The complete series is 12,28,75,316,1555, 9366

Answer: The missing number is 9366

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