586, 587, 586, 581, 570, ?, 522 | vedclass

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Question

(C) The given series is $586, 587, 586, 581, 570, ?, 522$.Let's analyze the differences between consecutive terms:$587 - 586 = +1$$586 - 587 = -1$$581

Vedclass · Accepted Answer

$551$

Vedclass · Answer

(C) The given series is $586, 587, 586, 581, 570, ?, 522$.Let's analyze the differences between consecutive terms:$587 - 586 = +1$$586 - 587 = -1$$581 - 586 = -5$$570 - 581 = -11$Now,let's look at the differences of these differences:$-1 - (+1) = -2$$-5 - (-1) = -4$$-11 - (-5) = -6$The pattern of the second difference is $-2, -4, -6, \dots$,which means the next difference should be $-8$.So,the next difference in the first series should be $-11 + (-8) = -19$.Therefore,the missing term is $570 - 19 = 551$.Checking the next term: $551 - 522 = 29$,which is $-19 + (-10) = -29$. The pattern holds.

$586, 587, 586, 581, 570, ?, 522$

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