MODULE 3: GEOMETRIC SEQUENCE ( 10-M)

What is the 10th term of the geometric sequence

8, 4, 2, 1, ...?

• $\frac{1}{84}$

• $\frac{1}{74}$

• $\frac{1}{64}$

• $\frac{1}{34}$

The Sequence:

2√2, 4, 4√2, 8,…is a Geometric Sequence whose common ratio is_____.

• 2

• 3

• 
  

  $\sqrt{2}$
  

• $\sqrt{3}$

If the expressions  $x+1,\ 2x^2+2x\ ,\ 4x^3+\ 4x^2,\ ...$  form a Geometric Sequence, what is the common ratio?

• x

• 2x

• x+1

• x+2

If an Arithmetic Sequence is obtained by adding a constant called common difference, a Geometric Sequence is obtained by multiplying the preceding term by a non-zero constant called________.

• Common ratio

• Common factor

• Common denominator

• Common sense

 $3,\ \frac{3}{2},\ \frac{3}{4},\ ...$  

Find the 4th term of the Geometric Sequence  

•  $\frac{3}{8}$  

•  $\frac{3}{6}$  

•  $\frac{3}{38}$  

•  $\frac{3}{16}$  

If the first term of a Geometric Sequence is -2 and the common ratio is 2, what is the 7th term?

• $-22$

• $-32$

• $-64$

• $-128$

What is the missing term of the sequence

5, 15, 45, _____, 405, . . .?

• 135

• 138

• 145

• 155

What is the common ratio of the sequence

 $\frac{3}{4},\ \frac{6}{12},\ \frac{12}{36},\ ...,\ ?\$  

•  $\frac{3}{2}$  

•  $\frac{2}{3}$  

•  $\frac{5}{3}$  

•  $\frac{3}{5}$  

In $a_n=\ a_1\cdot\ r^{n-1}$ , find the eighth term of the Geometric Sequence whose first term is 64 and whose ratio is  $-\frac{1}{2}$  . 

•  $\frac{1}{8}$  

•  $\frac{1}{4}$  

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

In the Geometric Sequence

1, 4, 16, 64, … what term is 16,384?

• 5th

• 6th

• 7th

• 8th