Observe the following pattern.

The fourth pattern will represent the square of which number?

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Solution

The correct option is B
5

Observing the pattern we can see

$1 + 3$

$= 4$

$= 2^{2}$

$1 + 3 + 5$

$= 9$

$= 3^{2}$

$1 + 3 + 5 + 7$

$= 16$

$= 4^{2}$

So observing the pattern the fourth pattern will be

$1 + 3 + 5 + 7 + 9$

$= 25$

$= 5^{2}$

Hence it is square of 5.

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Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.

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Observe the following pattern. The fourth pattern will represent the square of which number?

The correct option is B 5 Observing the pattern we can see 1+3 =4 =22 1+3+5 =9 =32 1+3+5+7 =16 =42 So observing the pattern the fourth pattern will be 1+3+5+7+9 =25 =52 Hence it is square of 5.

Observe the following pattern.

The fourth pattern will represent the square of which number?

The correct option is B
5

Observing the pattern we can see

$1 + 3$

$= 4$

$= 2^{2}$

$1 + 3 + 5$

$= 9$

$= 3^{2}$

$1 + 3 + 5 + 7$

$= 16$

$= 4^{2}$

So observing the pattern the fourth pattern will be

$1 + 3 + 5 + 7 + 9$

$= 25$

$= 5^{2}$

Hence it is square of 5.