Quiz about Algebra 1 - Ch. 6.6 Geometric Sequences Bk. Pg. 342-343

Question 1

Problem #8

Determine whether the sequence is arithmetic, geometric, or neither.

-1, 4, -7, 10

Accepted Answer

neither

There is no common difference or common ratio.

Answer

arithmetic

There is a common difference of 3.

Answer

geometric

There is a common ratio of 3.

Question 2

Problem #10

Determine whether the sequence is arithmetic, geometric, or neither.

$$\frac{3}{49},\ \frac{3}{7},\ 3,\ 21$$

Accepted Answer

geometric

There is a common ratio of 7.

Answer

arithmetic

There is a common difference of 7.

Answer

neither

There is no common difference or common ratio.

Question 3

Problem #12

Determine whether the sequence is arithmetic, geometric, or neither.

-25, -18, -11, -4

Accepted Answer

arithmetic

There is a common difference of 7.

Answer

geometric

There is a common ratio of 7.

Answer

neither

There is no common difference or common ratio.

Question 4

Problem #24

Write an equation for the nth term of the geometric sequence.

0.6, -3, 15, -75

Accepted Answer

$$a_n=0.6\left(-5\right)^{n-1}$$

Answer

$$a_n=0.6\left(-.5\right)^{n-1}$$

Answer

$$a_n=0.6\left(-5.1\right)^{n-1}$$

Question 5

Problem #28

Write an equation for the nth term of the geometric sequence.

Accepted Answer

$$a_n=-192\left(-\frac{1}{4}\right)^{n-1}$$

Answer

$$a_n=-192\left(\frac{1}{4}\right)^{n-1}$$

Answer

$$a_n=-192\left(-\frac{1}{4}\right)^{n+1}$$

Question 6

Problem #30

Write an equation for the nth term of the geometric sequence.

Accepted Answer

$$a_n=224\left(\frac{1}{2}\right)^{n-1}$$

Answer

$$a_n=224\left(\frac{1}{2}\right)^{n+1}$$

Answer

$$a_n=-224\left(\frac{1}{2}\right)^{n-1}$$

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