The table shows the length of a side of a square garden and the perimeter of the garden.
Length of Side
1
2
3
4
5
Perimeter
4
8
12
16
20
Do the numbers in the perimeter row form an arithmetic sequence? Explain.Exploring Arithmetic Sequences.
What would be the next three numbers in the perimeter row?
Write a formula for the perimeter of a square of side n (the nth perimeter) using the first number (perimeter) in the pattern.
Use your formula to find the 15th perimeter in the pattern.
Do you know another formula for the perimeter of a square of side n? Write this formula. Explain why this formula and the one you wrote above give the same perimeters for any value of n. (Hint: Use the distributive property.)
Draw a graph showing the relationship between the length of the side of a square and its perimeter. Describe your graph.
Laurie typed 24 words per minute thefirst day she practiced, 28 words per minute the second day, and 32 words per minute the third day. If the pattern continues, what will Laurie’s typingspeed be on the sixth day? On which day will Laurie’s typing speed be greater than 65 words per minute?
Roberto began his collection of tradingcards with 18 cards that were a present from his grandfather. Each week, he added thesame number of cards to his collection.At the end of five weeks, he had 46cards. How many cards did Roberto add each week? How many cards didhe have at the end of the second, third,and fourth weeks?
