# Sequences

# Sequences: Quiz 1: Sequential Essentials and Other Well-Timed Rhymes Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Sequences**Q. An arithmetic sequence is a sequence where

the sum of successive terms is constant.

the difference of successive terms is constant.

the product of successive terms is constant.

the ratio of successive terms is constant.

Q. The sequence

-1, -1, -1, -1,...

is

arithmetic only.

geometric only.

both arithmetic and geometric

neither arithmetic nor geometric.

Q. The sequence

0, -3, -6, -9, ...

is

arithmetic only.

geometric only.

both arithmetic and geometric

neither arithmetic nor geometric.

Q. The sequence

60, -30, 15, -7.5,...

is

arithmetic with

*d*= -90arithmetic with

*d*= 30geometric with

geometric with

*r*= -2Q. An arithmetic sequence has

*a*_{1}= 5 and*d*= 9. What is*a*_{25}?221

225

230

239

Q. An arithmetic sequence has

*a*_{11}= 4.54 and*a*_{20}= 9.04. Find*a*_{1}and*d*.*d*= 0.5 and

*a*

_{1}= -0.96

*d*= 0.5 and

*a*

_{1}= -0.46

*d*= 0.45 and

*a*

_{1}= -0.41

*d*= 0.45 and

*a*

_{1}= 0.04

Q. A geometric sequence has

*a*= 100,000 and*r*= 0.2. Find*a*_{10}.0.256

0.0512

0.01024

0.002048

Q. A geometric sequence has

*a*_{5}=*c*and*a*_{10}=*d*. Which of the following is true?Q. In a geometric sequence, the general term is given by

*a*=

_{n}*a*

_{1}

*r*

^{n – 1}

*a*=

_{n}*a*

_{1}

*r*

^{n}*a*=

_{n}*a*

_{1}

*r*

^{n + 1}

*a*=

_{n}*a*

_{1}+

*r*

^{n – 1}

Q. An arithmetic sequence has

*a*_{8}= 9.5 and*a*_{9}= 9.75. What is*a*_{2}?7.5

7.75

8

8.25