5.1 Sequenes and Series

Is the following series or a sequence?

5, 12, 19, 26, 33, 40

• sequence

• Series

Is the following a sequence or series?

5 + 12 + 19 + 26 + 33 + 40

• Sequence

• Series

Write the first six terms of the sequence whose nth term is .

 $a_n=2n$  

• 1,2,4,6,8,10

• 2,4,6,8,10,12

• 12,10,8,6,4,2,

• 1,2,3,4,5,6

Choose the first four terms of the sequence whose nth term is  

 $a_n=\left(-1\right)^{\left(n+1\right)}$  

• -1,-1,-1,-1

• 1,-1,1,-1

• -1,-1,-1,-1

• 1,1,1,1

How can we evaluate the sum

 $\sum_{i=1}^42\left(i-1\right)$  

• 2(1-1)+2(2-1)+2(3-1)+2(4-1)

• 2(1-1)+2(4-1)

• 2(1-1)*2(2-1)*2(3-1)*2(4-1)

• 1+2+3+4

write the first five terms of the sequence. Begin with n = 1.

 $a_n=3n-5$  

rite the first five terms of the sequence. Begin with n = 1.

 $a_n=\frac{n^2}{2n}$  

write the first five terms of the sequence. Begin with n = 1.

 $a_n=\frac{n^2}{n!}$  

which ones are the first 3 terms of the sequence. Choose all that apply.

 $a_n=3n-1$  

• 2

• -1

• 5

• 8

• 1

the sequence is defined recursively. Write the first six terms of the sequence. Begin with n = 0.

 $a_0=1$  
 $a_1=1$  

 $a_n=a_{\left(n-2\right)}+a_{\left(n-1\right)}$  

• 1,1,2,3,5,8

• 0,1,2,3,4,5

• 1,1,3,5,7,9