3
in the geometric pattern below. n represents the number of blocks in the bottom row of each figure.
n =
1
n =
2
n
=
3
write a function that models the total number of blocks in terms of n.
a. f(1) = 2; f(n) = f(n − 1) + 2n; for n > 2
b. f(1) = 2; f(n) = f(n − 1) + 4n; for n > 2
c. f(1) = 1; f(n) = f(n − 1) + n; for n > 2
d. f(1) = 1; f(n) = f(n − 1) + 2n; for n > 2

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.

11) obtuse

13)right

15) acute

you have to find the same variables -3n - 5n so this would be -3n +(-5n) which equals -9n