3, 20, 87, 392, ? | vedclass

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Question

(D) The pattern follows a sequence of operations involving squares and alternating additions/subtractions.Step $1$: $3 + (1^2 + 16) = 3 + 17 = 20$Step

Vedclass · Accepted Answer

$1003$

Vedclass · Answer

(D) The pattern follows a sequence of operations involving squares and alternating additions/subtractions.Step $1$: $3 + (1^2 + 16) = 3 + 17 = 20$Step $2$: $20 + (9^2 - 14) = 20 + 67 = 87$Step $3$: $87 + (17^2 + 16) = 87 + 305 = 392$Step $4$: $392 + (25^2 - 14) = 392 + 611 = 1003$The sequence of squares added/subtracted is $1^2, 9^2, 17^2, 25^2$ (increasing by $8$) and the constant terms alternate between $+16$ and $-14$.Thus,the missing number is $1003$.

$3, 20, 87, 392, ?$

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