Finding Values in Arithmetic and Geometric Sequences

The individual numbers in a sequences are called...

• Common difference

• Successive term

• Term

• Geometric term

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

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

• 14

• 68

• 63

• 71

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

• -4

• 10

• -122

• 174

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

• a_n = -1-5n

• a_n = -1+5n

• a_n= 1+5n

• a_n = 1-5n

Create the formula for the arithmetic sequence:
-10, -3, 4, 11...

• a_n = 17-7n

• a_n = -17+7n

• a_n= -17-7n

• a_n = 17+7n