# Sequences

# Sequences: Quiz 0: Because We'd Rather Start Counting from Zero 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. A sequence is

a list of numbers.

an infinite list of numbers.

an infinite list of terms separated by commas.

a list of numbers where the

*n*^{th}number is given by a mathematical formula.Q. A sequence is defined by

Find *a*_{2}.

4

Q. Let

*a*be the decimal expansion of correct to_{n}*n*decimal places.Find *a*<sub>1</sub>.

3

3.3

3.33

3.333

Q. Which formula gives the general term for the sequence of positive odd numbers if we start the sequence at

*n*= 0?*a*= 2

_{n}*n*+ 1

*a*= 2

_{n}*n*– 1

*a*= 2(

_{n}*n*+ 1)

*a*= 2(

_{n}*n*– 1)

Q. Find the formula for the general term of the sequence

0, -10, 20, -30, 40, -50

if we start with *n* = 0.

*a*= 10(

_{n}*n*– 1)

*a*= (-1)

_{n}^{n – 1}10(

*n*– 1)

*a*= (-1)

_{n}*10*

^{n}*n*

*a*= (-1)

_{n}^{n + 1}10

*n*

Q. Give the formula for the general term of the sequence

starting with *n* = 1.

Q. Which of the following descriptions produce the sequence of natural numbers

1, 2, 3, 4,... ?

(I) *a _{n}* =

*n*starting at

*n*= 1

(II)

*a*=

_{n}*n*– 1 starting at

*n*= 1

(III)

*a*= n starting at

_{n}*n*= 0

(IV)

*a*= (

_{n}*n*+ 1) starting at

*n*= 0

I and II

I and IV

II and III

III and IV

Q. Find the general term of the sequence

0.5, 2, 4.5, 8, 12.5, ...

starting with *n* = 1.

*a*= 1.5

_{n}*n*– 1

Q. Which description produces the sequence 0,6,24,60,... ?

*a*= 6

_{n}*n*

^{2}starting at

*n*= 0

*a*= 6

_{n}*n*

^{2}starting at

*n*= 1

*a*=

_{n}*n*

^{3 }–

*n*starting at

*n*= 0

*a*=

_{n}*n*

^{3 }–

*n*starting at

*n*= 1

Q. Find the general term for the sequence

starting with *n* = 1.