Sequences

Sequences

Prepared by: Lezlie Mae C.Capioso

Multiple Choice

The following are arithmetic sequence EXCEPT

• 2, 3, 4, 5, 6,....

• 3, 6, 9, 12, 15,....

• 5, 5, 5, 5, 5,....

• $$\frac{1}{2},\ 1,\frac{3}{2},\ 2,...$$  

Multiple Choice

Which of the following sequences has a common ratio of 2?

• 2, 4, 6, 8, 10,....     

• 5, 10, 15, 20, 25,....

• 40, 20, 10, 5,…

• 3, 6, 12, 24, 48,…

Multiple Choice

The sum of the first 5 terms of the sequence 9, 3, 1,  $$\frac{1}{3}$$   ,....is

• $$\frac{40}{3}$$  

• $$\frac{121}{3}$$  

• $$\frac{40}{9}$$  

• $$\frac{121}{9}$$  

Multiple Choice

Which term of the arithmetic sequence 4, 1 , -2, -5, -8,...is -14?

• 6th 

• 7th term

• 8t

• 10th term

Multiple Choice

A sequence where each term after the first is obtained by adding a constant called the common difference.

• Arithmetic Sequence

• Geometric Sequence

• Fibonacci Sequence

• Harmonic Sequence

Multiple Choice

Find the common difference of the arithmetic sequence with a₄=10 and a₁₁=45.

• 2

• 3

• 4

• 5

Multiple Choice

How many terms are there in an arithmetic sequence with d=4 and with first and last terms 3 and 59, respectively?

• 15

• 20

• 25

• 30

Fill in the Blanks

It is obtained by dividing any term in the sequence by the term that precedes it.

Multiple Choice

What is the common ratio in the given geometric sequence 8, 4, 2, 1, ...?

• 2

• 4

• $$\frac{1}{2}$$  

• $$\frac{1}{4}$$  

Multiple Choice

What is the tenth term of the geometric sequence 8, 4, 2, 1,....?

• $$\frac{1}{8}$$  

• $$\frac{1}{16}$$  

• $$\frac{1}{32}$$  

• $$\frac{1}{64}$$  

Multiple Choice

What is the sum of odd integers from 1 to 100?

• 2000

• 2250

• 2500

• 2750

Multiple Choice

What is the arithmetic mean between 11 and 19?

• 14

• 15

• 16

• 17

Multiple Choice

What is the next term in the geometric sequence 3, -9, 27......?

• 54

• -54

• 81

• -81

Multiple Choice

Find the sum of the first 4 terms of the geometric sequence with first term 40 and common ratio $$\frac{1}{2}$$   .

• 55

• 60

• 75

• 80

Multiple Choice

What is the third term of the sequence whose nth term is  $$a_n=\frac{n^2-1}{n^2+1}$$    ?

• $$\frac{1}{4}$$  

• $$\frac{3}{4}$$  

• $$\frac{2}{5}$$  

• $$\frac{4}{5}$$  

Multiple Choice

Which of the following is the sum of all multiples of 3 from 15 to 48?

• 315

• 360

• 378

• 396

Multiple Choice

What is the 4^th term of geometric sequence if the 2^nd term is 1 and the 6^th term 256?

• $$\frac{1}{4}$$  

• 4

• 16

• 64

Multiple Choice

What is the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17,…?

• 3n + 4

• 4n + 3

• n + 2

• 2n + 5

Multiple Choice

What is the sum of the infinite geometric series  $$\frac{3}{4}-\frac{9}{16}+\frac{27}{64}-\frac{81}{256},....$$  ?

• 3

• 1

• $$\frac{3}{4}$$  

• $$\frac{3}{7}$$  

Multiple Choice

Find the sum of all odd integers between 8 and 26

• 153

• 151

• 149

• 147