Question

This chart shows the growth of a maple tree. If the tree's height increases in this same pattern, what will be the height of the tree, in inches, after 8 months?

Months
Height of Tree
1
10 inches
2
13 inches
3
16 inches
4
19 inches

Answer 1

31 inches

Explanation:

you can get this answer by 2 ways. one is using number patterns.

find the difference between each of the heights.

13-10=3

16-13=3

19-16=3

therefore the common difference is 3

now create a number pattern.

first term + common difference× (n-1)= nth term

a+(n-1)d

let's check this with the 2nd month

10+ 3× (2-1)

10+3=13

in second month 13 inches

so this pattern works

let's find the height in 8th month

10+ 3(8-1)

10+ 21=31 inches

height in 8th month is 31 inches.

you can find this by just adding too. but forming an equation is always good and safe