Finding the Nth Term of a Geometric Sequence

Which of the following is the formula for finding any term of a geometric sequence?

• a_n = a_n-1 + d

• a_n = a₁ + d(n-1)

• a_n = a₁ x r^n-1

• a_n = a_n-1 x r

What is the formula for finding the nth term of a geometric sequence?

• a_n = a₁ + (n - 1)d

• a_n = d + (n - 1)d

• a_n = a₁r^n-1

• a_n = a₁n^r-1

In the formula for finding the nth term of a geometric sequence, what does r represent?

• common difference

• common sum

• common rational

• common ratio

What do you call a sequence in which a succeeding term is obtained after multiplying the preceding term by a constant number

• arithmetic

• geometric

• fibonacci

• harmonic

What do you call the constant that is multiplied by the preceding term to get the next term in a geometric sequence?

• common ratio

• common difference

• common distance

• common factor

Find the 5th term in a geometric sequence with a1 = 4 and r= -3.

Given the sequence below, what is a₂?

• 4

• 2

• 1

• 1/2

• common difference

• nth term

• common ratio

• first term

Given the geometric sequence 2, 6, 18, n, 162, ..., what is the value of n?

• 54

• 90

• 24

• 36

What is the value of the 4th term if a₁ = 4 and r = 6 ?

• 124

• 144

• 384

• 864