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Method of Difference

Find the miss...

Question

Find the missing term in the Following sequence
-4, -3, 0, 5, 12, ?, 32.

A

21

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B

20

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C

22

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D

19

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Solution

The correct option is A 21
Each term in he sequence is of the form $n^{2} + {(n + 1)}^{2} - {(n + 2)}^{2}$ Therefore, the missing term in the given sequence
$= 6^{2} + 7^{2} - 8^{2} = 21$

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