7 9 19 45 95 ?

150

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160

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145

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177

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None of these

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Solution

The correct option is D 177
$7 + (1)^{2} + 1 = 9$
$+ 2 ↓$
$9 + (3)^{2} + 1 = 19$
$+ 2 ↓$
$19 + (5)^{2} + 1 = 45$
$+ 2 ↓$
$45 + (7)^{2} + 1 = 95$
$+ 2 ↓$
$95 + (9) 62 + 1 = 177$

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