Sequences and Series Review

A sequence in which each term is obtained by multiplying the preceding term by a constant is called a/an __________.

• Arithmetic Sequence

• Infinite Sequence

• Finite Sequence

• Geometric Sequence

The constant r in a geometric sequence is called the __________

• Common Rule

• Common Difference

• Common Sum

• Common Ratio

 The symbol   $t_1$ represents the _________ of a sequence.

• Term

• Last Term

• First Term

• Second Term

In mathematics, we think of a/an ___________ as a list of numbers or terms.

• Series

• Sum

• Sequence

• Solution

A sequence whose consecutive terms have a common difference is a/an ___________.

• Arithmetic Series

• Arithmetic Sequence

• Geometric Sequence

• Geometric Series

A stack of telephone poles has 30 poles in the bottom row. There are 29 poles in the second row, 28 in the next row, and so on. How many poles are there in the 25^th row?

• 2

• 6

• 24

• 16

Given the sequence 35, 41, 47, 53, ____, ____, 71, insert two arithmetic means.

• 43 and 47

• 59 and 65

• 72 and 81

• 90 and 97

A gardener makes a triangular planting with 40 plants in the front row, 36 in the second row, 32 in the third row, and so on. If the pattern is consistent, how many plants will there be in the 10^th row?

• 16

• 12

• -6

• 4

What is the sum of the first 20 counting numbers?

• 20

• 145

• 210

• 305

 $t_1=7,\ \ r=3,\ \ t_7=?$  

Find the indicated term of the geometric sequence.

• 5031

• 1053

• 3015

• 5103