280, 284, 300, ?, 400, 500 | vedclass

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Question

(C) The given series is $280, 284, 300, ?, 400, 500$.Let us analyze the differences between consecutive terms:$284 - 280 = 4 = 2^2$$300 - 284 = 16 = 4

Vedclass · Accepted Answer

$336$

Vedclass · Answer

(C) The given series is $280, 284, 300, ?, 400, 500$.Let us analyze the differences between consecutive terms:$284 - 280 = 4 = 2^2$$300 - 284 = 16 = 4^2$Following this pattern,the next difference should be $6^2 = 36$.So,the missing term is $300 + 36 = 336$.To verify,the next difference should be $8^2 = 64$,but here the difference is $400 - 336 = 64$,which matches $8^2$.The next difference is $500 - 400 = 100 = 10^2$.Thus,the pattern is adding consecutive even squares: $+2^2, +4^2, +6^2, +8^2, +10^2$.The missing term is $336$.

$280, 284, 300, ?, 400, 500$

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