Both Sequences Review

What is an arithmetic sequence?

• A series of terms where the same number is subtracted each time to get the next term

• A series of terms where the same number is divided each time to get the next term

• A series of terms where the same number is multiplied each time to get the next term

• A series of terms where the same number is added each time to get the next term

What is an geometric sequence?

• A series of terms where the same number is subtracted each time to get the next term

• A series of terms where the same number is divided each time to get the next term

• A series of terms where the same number is multiplied each time to get the next term

• A series of terms where the same number is added each time to get the next term

What does the d stand for in an arithmetic sequence?

• the dalai lama

• the common difference

• the common denominator

• the common derivative

How do you find d?

• $a_1\times a_2$

• $a_2-a_1$

• $a_1+a_2$

• $\frac{a_2}{a_1}$

How do you find the common ratio?

• $a_1\times a_2$

• $a_2-a_1$

• $a_1+a_2$

• $\frac{a_2}{a_1}$

What is the explicit rule for arithmetic sequences?

•  $a_n=a_1+d\left(n-1\right)$  

•  $a_n=d+a_1\left(n-1\right)$  

•  $a_n=a_1\left(r\right)^{\left(n-1\right)}$  

•  $a_n=a_1-d\left(n-1\right)$  

What is the explicit rule for geometric sequences?

•  $a_n=a_1+d\left(n-1\right)$  

•  $a_n=r\left(a_1\right)^{\left(n-1\right)}$  

•  $a_n=a_1\left(r\right)^{\left(n-1\right)}$  

•  $a_n=a_1\left(\frac{1}{r}\right)^{\left(n-1\right)}$  

What does the r stand for in an geometric sequence?

• the common radical

• the common difference

• the rational number

• the common ratio

For an arithmetic sequence,  $a_1$  = 18 and d = -7, what are the first five terms of the sequence

• 18, -126, 882, -6174, 43218

• 18, 11, 4, -3, -10

• 18, 25, 32, 39, 46

• 18, 11, 4, -5, -12

For an geometric sequence,  $a_1$  = 6 and d = 5, what are the first five terms of the sequence

• 6, 1.2, 0.24, 0.048, 0.0096

• 6, 11, 16, 21, 26

• 6,1, -4, -9, -14

• 6, 30, 150, 750, 3750