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Flashcards: Simple number function recognition

In the following list, each value of $\displaystyle y$ is calculated from its value of $\displaystyle x$ the same way. Fill in the blank.

$\underline{ \begin{matrix}x & y \end{matrix}}$ $\displaystyle \underline{ \begin{matrix}x & y \end{matrix}}$

$\begin{matrix} 1 & - 1 \\ 2 & 4 \\ 3 & -9 \\ 4 & 16 \\ 5 & \underline{\; \; \; \; } \end{matrix}$ $\displaystyle \begin{matrix} 1 & - 1 \\ 2 & 4 \\ 3 & -9 \\ 4 & 16 \\ 5 & \underline{\; \; \; \; } \end{matrix}$

$\displaystyle -20$

$\displaystyle -25$

$\displaystyle 20$

$\displaystyle 25$

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Flashcards: Simple number function recognition

In the following list, each value of $\displaystyle y$ is calculated from its value of $\displaystyle x$ the same way. Fill in the blank.

$\underline{ \begin{matrix}x & y \end{matrix}}$ $\displaystyle \underline{ \begin{matrix}x & y \end{matrix}}$

$\displaystyle -20$

$\displaystyle -25$

$\displaystyle 20$

$\displaystyle 25$

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Flashcards: Simple number function recognition

In the following list, each value of $\displaystyle y$ is calculated from its value of $\displaystyle x$ the same way. Fill in the blank.

$\underline{ \begin{matrix}x & y \end{matrix}}$ $\displaystyle \underline{ \begin{matrix}x & y \end{matrix}}$

Your answer:

$\displaystyle -20$

Your answer:

$\displaystyle 20$

Your answer:

$\displaystyle 25$

Correct answer:

$\displaystyle -25$

Explanation:

$\displaystyle y$ is calculated from $\displaystyle x$ by taking the square of $\displaystyle x$, then affixing a negative symbol in front if and only if $\displaystyle x$ is odd. Therefore, to get the $\displaystyle y$ that corresponds to x=5 $\displaystyle x=5$, first, square 5:

$5 \times 5 = 25$ $\displaystyle 5 \times 5 = 25$

Next, affix a negative symbol in front to make it $\displaystyle -25$, the correct answer.

Flashcards: Simple number function recognition

A sequence begins as follows:

$5, 8, 14, 26, \square , \bigcirc ,...$ $\displaystyle 5, 8, 14, 26, \square , \bigcirc ,...$

What number will replace the circle?

$\displaystyle 50$

$\displaystyle 74$

$\displaystyle 98$

$\displaystyle 62$

124 $\displaystyle 124$

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Flashcards: Simple number function recognition

A sequence begins as follows:

$5, 8, 14, 26, \square , \bigcirc ,...$ $\displaystyle 5, 8, 14, 26, \square , \bigcirc ,...$

What number will replace the circle?

Your answer:

$\displaystyle 50$

Your answer:

$\displaystyle 74$

Your answer:

$\displaystyle 62$

Your answer:

124 $\displaystyle 124$

Correct answer:

$\displaystyle 98$

Explanation:

The sequence of numbers is formed by starting with 5, and, for each consecutive term, adding a quantity that begins with 3 and doubles each time. The sequence is:

$5+ 3 = \textbf{8}$ $\displaystyle 5+ 3 = \textbf{8}$

$8+ 6 = \textbf{14}$ $\displaystyle 8+ 6 = \textbf{14}$

$14+ 12 = \textbf{26}$ $\displaystyle 14+ 12 = \textbf{26}$

$26 + 24 = \textbf{50 }$ $\displaystyle 26 + 24 = \textbf{50 }$ - the number that replaces the square;

$50 + 48 = \textbf{{\color{Red} 98} }$ $\displaystyle 50 + 48 = \textbf{{\color{Red} 98} }$ - the number that replaces the circle.

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