62, 87, 187, 412, 812, ? | vedclass

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Question

(B) The given series is $62, 87, 187, 412, 812, ?$.Let's find the differences between consecutive terms:$87 - 62 = 25 = 5^2$$187 - 87 = 100 = 10^2$$41

Vedclass · Accepted Answer

$1437$

Vedclass · Answer

(B) The given series is $62, 87, 187, 412, 812, ?$.Let's find the differences between consecutive terms:$87 - 62 = 25 = 5^2$$187 - 87 = 100 = 10^2$$412 - 187 = 225 = 15^2$$812 - 412 = 400 = 20^2$The differences are squares of multiples of $5$: $5^2, 10^2, 15^2, 20^2$.The next difference should be $25^2 = 625$.Therefore,the next term is $812 + 625 = 1437$.

$62, 87, 187, 412, 812, ?$

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