Math, asked by aryanshukla584, 10 months ago

Answer the question given below

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Answered by Sauron
6

Answer:

The Question mark resembles the value of 136.

Step-by-step explanation:

If you see the attachment. The numbers are increasing by a very great value.

The Logic used here is that, if the first number is multiplied by 'y', then 'y' is also added to get the second number. The next number will be multiplied by (y + 1) and again (y + 1) will be added to it which results to the third number. The same continues.

[Here, y = 2]

First Number = 4

\rule{300}{0.5}

\textsf{\underline{\underline{Second Number -}}}

Here, 4 is multiplied by 2, and 2 is added to the product of 4 and 2.

⇒ (2 × 4) + 2 = 10

⇒ 8 + 2 = 10

⇒ 10 = 10

⇒ LHS = RHS

\rule{300}{0.5}

\textsf{\underline{\underline{Third Number -}}}

⇒ {10 × (2 + 1)} + (2 + 1) = 33

⇒ {10 × 3} + 3 = 33

⇒ 30 + 3 = 33

⇒ 33 = 33

⇒ LHS = RHS

\rule{300}{0.5}

\textsf{\underline{\underline{Fourth Number - }}}

Following the above pattern, the Question Mark =

⇒ {33 × (2 + 1 + 1)} + (2 + 1 + 1)

⇒ {33 × 4} + 4

⇒ 132 + 4

⇒ 136

\therefore ? = 136

\rule{300}{1.5}

Check whether the value of ? is agreeing the pattern for the next numbers.

\textsf{\underline{\underline{Fifth Number -}}}

⇒ {136 × (2 + 1 + 1 + 1)} + (2 + 1 + 1 + 1) = 685

⇒ {136 × 5} + 5 = 685

⇒ 680 + 5 = 685

⇒ 685 = 685

⇒ LHS = RHS

\rule{300}{0.5}

\textsf{\underline{\underline{Sixth Number -}}}

⇒ {685 × (2 + 1 + 1 + 1 + 1)} + (2 + 1 + 1 + 1 + 1) = 4116

⇒ {685 × 6} + 6 = 4116

⇒ 4110 + 6 = 4116

⇒ 4116 = 4116

⇒ LHS = RHS

The value of ? (136) agrees with the pattern.

\therefore The Question Mark ressembles 136.

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