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

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