Math, asked by manvidani1015, 6 hours ago

5,92,512,2090,?,12626 find Missing number

Answers

Answered by Hansika4871
1

Given:

A sequence 5,92,512,2090,?,12626.

To Find:

The missing number in the sequence.

Solution:

The given question can be solved by obtaining a common logic between every number.

1. The given sequence is 5,92,512,2090,?,12626.

2. The second term i.e 92 is obtained using the following operation.

  • 92 = 5 x 6 + 62.

3. The third term i.e 512 is obtained using the following operation.

  • 512 = 92 x 5 + 52.

4. The fourth term i.e 2090 is obtained using the following operation.

  • 2090 = 512 x 4 + 42.

5. From the above steps we can conclude that the series is following a common pattern . So the next term can be calculated using the above pattern,

  • Missing number = 2090 x 3 + 32.

=> Missing number = 6270 + 32,

=> Missing number = 6302.

6. The 5th number in ther series i.e 12626 is obtained using the same pattern.

  • 12626 = 6302 x 2 + 22.

Therefore, the missing term in the series is 12626. The final sequence is 5,92,512,2090,6302,12626.

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