Few more math questions?

Question

Sorry for the bother but I just can't figure these out. I've answered some of them but I'm not sure if they're right. If you do answer, can you explain how you did it?

6. The growth of a bug population shows a geometric sequence as shown in the table. This pattern continues indefinitely. What will the population be on week 22? (Photo attached)

A) about 527,110
B) about 737,954
C) about 1,007,042
D) about 1,701,000
I divided the numbers in the graph and found they were multiplying by 1.4 and so I did that until week 22 but my answer wasn't listed.

8. What is the value of the element at h23? (Photo attached) 
A) 2 
B) 9 
C) 23
D) 75
Is it 23?

9. Which transformations map the strip pattern onto itself? (Photo attached)

A) a horizontal translation only 
B) a horizontal translation and 180 rotation 
C) a horizontal translation and glide reflection
D) a horizontal translation and a reflect across vertical line
Is it C?

10. Which name is a correct way to name the tiling? (Photo attached)  
A) 3^2, 12 
B) 3, 12^2
C) 3^6, 12
D) 3^6, 12^2
Is it B?

hayharbr · Answer

6. To get a term in a geometric sequence you multiply the previous term by a constant number (the common ratio, r).  630 ÷ 450 = 1.4, and so 630 • 1.4 = 882 shows r = 1.4 and you are right about that.
The formula for the nth term of a G.S. is an = a1 • r^(n - 1)
 a23 = 450 • 1.4 ^ 22 so you'd do that on your calculator.

8. h 23: the two numbers give the row and column in that order of the element.  So you need the element that is in the second row and third column. 75.  At least that's how I learned it.

9.  It must be C because none of the others work.  All you really would need is a glide reflection, but you could throw in a horizontal translation without making any difference.

10.  I have no idea how to name a tiling - must be something new.  Sorry.

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Few more math questions?

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