In the following number series,a wrong number | vedclass

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(A) Let us analyze the differences between consecutive terms in the series:$107 - 71 = 36 = 6^2$$71 - 46 = 25 = 5^2$$46 - 30 = 16 = 4^2$$30 - 21 = 9 =

Vedclass · Accepted Answer

$19$

Vedclass · Answer

(A) Let us analyze the differences between consecutive terms in the series:$107 - 71 = 36 = 6^2$$71 - 46 = 25 = 5^2$$46 - 30 = 16 = 4^2$$30 - 21 = 9 = 3^2$$21 - 19 = 2 
eq 2^2$$19 - 16 = 3 
eq 1^2$Observing the pattern of squares $(6^2, 5^2, 4^2, 3^2)$,the next difference should be $2^2 = 4$ and then $1^2 = 1$.If we replace $19$ with $17$,the series becomes $16, 17, 21, 30, 46, 71, 107$.The differences would then be: $107-71=36 (6^2)$,$71-46=25 (5^2)$,$46-30=16 (4^2)$,$30-21=9 (3^2)$,$21-17=4 (2^2)$,and $17-16=1 (1^2)$.Thus,the wrong number in the series is $19$.

In the following number series,a wrong number is given. Find out that wrong number.
$16 \quad 19 \quad 21 \quad 30 \quad 46 \quad 71 \quad 107$

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In the following number series,a wrong number is given. Find out that wrong number.$16 \quad 19 \quad 21 \quad 30 \quad 46 \quad 71 \quad 107$