This is my 7th year teaching high school mathematics. I have taught 7-12 grade at two different schools. I am currently teaching Algebra I and an Honors Algebra II class.
If a matrix $A$ is $5 \times 3$ and the product $A B$ is $5 \times 7,$ what is the size of $B ?$
Are the following geometric sequences? If so, find the common ratio.$$200,50,12.5,3.125, \dots$$
Write the explicit and recursive formulas for each geometric sequence.$$5,20,80,320, \dots$$
Write the explicit and recursive formulas for each geometric sequence.$$162,108,72,48, \dots$$
Error Analysis A friend says that the recursive formula for the geometric sequence $1,-1,1,-1,1, \ldots$ is $a_{n}=1 \cdot(-1)^{n-1} .$ Explain your friend's error and give the correct recursive formula for the sequence.
Determine whether the sequence is a geometric sequence. Explain.$$2,8,32,128, \dots$$
