Question

1,5,10,27,58,153,340?
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Answer 1

Answer:

520, 1280 is the answet

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Answer 2

Missing number is 903.

Given:

1,5,10,27,58,153,340

To find:

Find the missing number

Solution:

First, we will find the sequence of differences:

Sequence of Differences

These are the differences between two consequent numbers

4

5 = 4 x 2 - 3

17 = 5 x 3 + 2

31 = 17 x 2 - 3

95 = 31 x 3 + 2

187 = 95 x 2 - 3

A pattern can be seen here, previous number is alternately multiplied by 2 and 3 and then alternately 2 and 3 is added or subtracted. If 2 is multiplied , then 3 is subtracted and if 3 is multiplied then 2 is added alternatively.

x = 187 x 3 + 2

⇒ x = 561 + 2

x = 563

alternate Sequence (x 2 - 3) and (x 3 + 2)

Now, we have found the difference, so we will add the difference to x

? = 340 + x

= 340 + 563

= 903

missing number is 903

Hence, answer is 903.

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