Explicit Formulas of Geometric Sequences

Write the explicit formula for the sequence.

• 24

• 7,776

• 48

• 96

Use the explicit formula to find the 3rd term of the sequence. \(a_n=128\cdot\left(\frac{1}{2}\right)^{\left(n-1\right)}\)

• 64

• 32

• 16

• 8

Find an explicit rule for the nth term of the sequence.

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

Write the explicit formula for the geometric sequence.

• a_n = 162(2/3)^n-1

• a_n = (2/3)(162)^n-1

• a_n = 162(3/2)^n-1

• a_n = 162 + (n-1)(-54)

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ

• a_n = 7(-1)ⁿ

• a_n = 7(-1)^n-1

• a_n = -1(7)^n-1

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Write the explicit equation for the following sequence:

• t(n) = 30(2)ⁿ

• t(n) = 30(0.5)ⁿ

• t(n) = 60(0.5)ⁿ

• t(n) = 45 - 15n