Sequences and Series Practice

Determine the sum of the series written in Sigma Notation. 

• -1

• 255

• 295

• 350

Evaluate the infinite series described: 

• 4/3

• 16384/3

• No Sum

• 5522

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

• 160, 175, 190

• 165, 185, 195

• 155, 165, 175

• 190, 175, 160

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

• a_n = (3)^n-1 ; a₁ =5

• a_n = (5)^n-1 ; a₁ =3

• a_n = a_n-1+3 ; a₁ =5

• a_n = a_n-1+5 ; a₁ =3

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

225,75,25,8.33

• Geometric sequence with a common ratio of 1/3

• Geometric sequence with a common ration of 3

• Arithmetic sequence with a common difference of 58

• Common difference of 3

What is the 14th term of the geometric sequence?

• 14,348,907

• 4,782,969

• 1,594,323

• 45

Determine if the series converges or diverges

• Converges

• Diverges

Evaluate the infinite series described: 

• No Sum

• 0

• -1/9

• -4/25

Find the sum if possible

• 16

• 48

• 36

• not possible