Geometric and Arithmetic Sequences

Write the equation for the arithmetic sequence with the following terms: a₁₄ = -36, a₂₂ = -52

• a = -2n - 8

• a = -8n - 2

• a = -8n - 10

• a = -2n - 10

The number of seats in each row of a concert hall follows the sequence below:

a_n = 16 + 2n

Which row has 38 seats?

• 16

• 92

• 12

• 15

The number of seats in each row of a concert hall follows the sequence below:

a_n = 16 + 2n

How many seats are in the first 20 rows?

• 56

• 18

• 1480

• 740

Find the 8th term of the sequence: an = 2(5)n-1

• 156250

• 80

• 16

• 10000000

Describe the sequence, find the 5th term, and write the rule.

1, 5, 25, 125...

• geometric, a₅ = 625, a_n = 5^n-1

• arithmetic, a₅ = 3125, a_n = 5^n-1

• geometric, a₅ = 3125, a_n = 5ⁿ

• arithmetic, a₅ = 625, a_n = 5ⁿ

Find the equation for the geometric sequence with the following terms: a₂ = -12, a₅ = -96

• a_n = 2(-6)ⁿ

• a_n = 2(-6)^n-1

• a_n = -6(2)^n-1

• a_n = -6(2)ⁿ

Find the sum of the first 6 terms of the sequence:

a = 100 (1/2)^n-1

• 100000

• 1575/8

• 300

• 250

Find the sum of the infinite geometric series, if it exists:

-3 + -3/2 + -3/4 + -3/8...

• -6

• -8

• no sum

• -4

Which of the following illustrates a geometric sequence?

• 2, 4, 6, 8

• 2, 4, 8, 16

• 2, 1, 1/2, 1/3, 1/4

• 1, 1, 2, 3, 5

What is the next term in the geometric sequence 324, -108, 36?

• 4

• -4

• -12

• 12