3, 13, 27, 50, 87, 143, dots Find the next te | vedclass

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Question

(B) Let the given series be $S = 3, 13, 27, 50, 87, 143, \dots$Step $1$: Find the first level of differences:$13 - 3 = 10$$27 - 13 = 14$$50 - 27 = 23$

Vedclass · Accepted Answer

$223$

Vedclass · Answer

(B) Let the given series be $S = 3, 13, 27, 50, 87, 143, \dots$Step $1$: Find the first level of differences:$13 - 3 = 10$$27 - 13 = 14$$50 - 27 = 23$$87 - 50 = 37$$143 - 87 = 56$The first difference series is $10, 14, 23, 37, 56$.Step $2$: Find the second level of differences:$14 - 10 = 4$$23 - 14 = 9$$37 - 23 = 14$$56 - 37 = 19$The second difference series is $4, 9, 14, 19$.Step $3$: Find the third level of differences:$9 - 4 = 5$$14 - 9 = 5$$19 - 14 = 5$The third difference is constant at $5$.Step $4$: Extend the series:The next term in the second difference series is $19 + 5 = 24$.The next term in the first difference series is $56 + 24 = 80$.The next term in the original series is $143 + 80 = 223$.

$3, 13, 27, 50, 87, 143, \dots$ Find the next term.

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