Question

Please tell the correct answer of the above 2 question.
The persons who answers correctly within 2 hrs of posting the question will surely be marked as the Brainliest......​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{[8]\therefore Number=142}}$

${\bold{[9]\therefore Number=13}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies 17,24,38,61,95,? \\ \\ \underline \bold{To \: find: } \\ \implies Last \: number = ?$

• Take difference between given numbers.

$\bold{For \: first \: and \: second : } \\ \implies 24 - 17 = 7 \\ \\ \bold{For \: second \: and \: third : }\\ \implies 38 - 24 = 14 \\ \\ \bold{For \: third \: and \: fourth: } \\ \implies 61 - 38 = 23 \\ \\ \bold{For \:fourth \: and \: fifth : } \\ \implies 95 - 61 = 34$

• Difference between those numbers are not matching.

• So, again we take difference of those numbers which came when we taken difference of the given numbers in the question.

$\bold{For \: first \: and \: second : } \\ \implies 14 - 7 = 7 \\ \\ \bold{For \: second \: and \: third : } \\ \implies 23 - 14 = 9 \\ \\ \bold{For \: third \: and \: fourth: } \\ \implies 34 - 23 = 11$

• No. comes is 7,9,11 which there common difference is equal, that is 2.

• So, we add 2 in 11 and then add 13 in 34 and then add the number that comes after adding of 34 in the last second number that is 95.

$\implies 34 + 13 = 47 \\ \\ \implies 95 + 47 = 142 \\ \\ \bold{\therefore last \: no. = 142}$

• For 9 number question:

$\underline \bold{Given : } \\ \implies First \: row = 9,18,5,32 \\ \\ \implies Second\: row =8,26,?,47 \\ \\ \implies Third\: row =6,32,16,54 \\ \\ \underline \bold{To \: Find : } \\ \implies Second \: row \: third \: no. = ?$

• Add the first three numbers and that is equal to the last number.

$\bold{For \: first \: row \: no.} \\ \implies sum \: of \: first \: three \: no.= forth \: no. \\ \\ \implies 9 + 18 + 5 = 32 \\ \\ \implies 32 = 32 \\ \\ \bold{For \: third \: row \: no.} \\ \implies sum \: of \: first \: three \: no.= forth \: no. \\ \\ \implies 6 + 32 + 16 = 54\\ \\ \implies 54 = 54$

• Similarly add first three numbers of second row and that is equal to the fourth number.

$\bold{For \: second \: row \: no.} \\ \implies sum \: of \: first \: three \: no.= fourth \: no. \\ \\ \implies 8 + x+ 26 = 47 \\ \\ \implies x + 34 = 47 \\ \\ \implies x = 47 - 34 \\ \\ \bold{\implies x = 13}$

Answer 2

Answer:

Number = 142

Number = 13

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