655, 439, 314, 250, 223 ?

215

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210

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195

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190

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none of these

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Solution

The correct option is A 215
Solution $\to$ Given terms are 655,439,314,250,223,?
As $a_{1} = 655$
$a_{2} = 439$
$a_{3} = 314$
$a_{4} = 250$
$a_{5} = 223$
$a_{6} = ?$
So, $a_{1} - a_{2} = 655 - 439 = 216 = 6^{3}$
$a_{3} - a_{2} = 439 - 314 = 125 = 5^{3}$
$a_{3} - a_{4} = - 250 + 314 = 64 = 4^{3}$
$a_{4} - a_{5} = - 223 + 250 = 27 = 3^{3}$
So, we can observe difference b/w terms are cubes
of 6,5,4,3 so, is similar way
$a_{5} - a_{6} = 2^{3}$
$223 - a_{6} = 8$
$a_{6} = 215$
So, we find next term is 215

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