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Sigma n3

Complete the ...

Question

Complete the following series:
$0, 5, 22, 57, ?, 205$

A

198

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B

116

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C

172

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D

92

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Solution

The correct option is C $116$
The series follows this sequence : cube of natural numbers starting from $1$ minus odd numbers starting from $1$ .
$052257116205$
$↓ ↓ ↓ ↓ ↓ ↓$
$1^{3} - 1 2^{3} - 3 3^{3} - 5 4^{3} - 7 5^{3} - 9 6^{3} - 11$

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