What is the next number in the sequence $21, 34, 55, 89, 144 ?$

169

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213

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223

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233

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Solution

The correct option is D $233$
$t_{1} = 21$
$t_{2} = 34$
$t_{3} = 55$
$t_{4} = 89$
$t_{5} = 144$

$∵ t_{1} + t_{2} = t_{3}, t_{2} + t_{3} = t_{4} \Rightarrow t_{3} + t_{4} = t_{5} \Rightarrow 89 + 144 = 233$ .....( $t_{4} +$ $t_{5} = t_{6}$ )

$∴$ The solution is $233$ .

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