The middle section is n(n+1)

The top row is n+2

The bottom row is 2n+1

So the rule for the total number of tiles will be the sum of the above rules...

s(n)=n(n+1)+n+2+2n+1

s(n)=n^2+n+n+2+2n+1

s(n)=n^2+4n+3

6 0

3 years ago

Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width

olganol [36]

Hello!

Let's make a proportion:

$\frac{30}{45} = \frac{6}{x}$

Cross multiply

45 × 6 = 270

Divide by 30

270 ÷ 30 = 9

$\framebox {The length is 9 inches}$

3 0

2 years ago

Consider Akelia’s sequence 5, 8, 11, 14, 17, ….

bonufazy [111]

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

$a_n=3n+2\hspace{10}n\in N$