Question

how many squares will be in the 9th figure of this pattern? ______________ 6. sam is building a wall with legos. the 1st row is made of red legos, the 2nd row is made of blue legos, the 3rd row is made of red legos, and the 4th row is made of blue legos. is this a repeating pattern or a growing pattern? explain. 7. sydney is making a bracelet using different shaped beads. she uses a repeating pattern of oo♡o☆. if her bracelet includes 20 beads, how many heart beads will sydney use for her bracelet? 4.oa.5 pg. 2 ©kathleen & mande’

Explanation:

Problem 6

A repeating pattern has a cycle that repeats, while a growing pattern increases in some quantity. Here, the rows alternate between red and blue Legos (red, blue, red, blue...), with no change in the "type" pattern (just alternating colors, no growth in elements like number of Legos per row mentioned). So it's a repeating pattern as the color sequence repeats.

Step1: Identify the pattern length

The repeating pattern is \( \bigcirc\bigcirc\heartsuit\bigcirc\bigstar \), so the number of beads in one pattern cycle is \( 5 \) (2 circles, 1 heart, 1 circle, 1 star).

Step2: Calculate number of cycles in 20 beads

To find how many full cycles are in 20 beads, divide the total number of beads by the number of beads per cycle: \( \frac{20}{5} = 4 \) cycles.

Step3: Calculate number of heart beads

In each cycle, there is 1 heart bead. So for 4 cycles, the number of heart beads is \( 1\times4 = 4 \).

Answer:

This is a repeating pattern. Explanation: The pattern of red, blue, red, blue (alternating colors of Lego rows) repeats without any increase in the pattern's elements (like number of Legos per row or a new element being added), so it follows a repeating cycle.

Problem 7