Sequences Explicit Formula

• 4

• 1

• 18

• 114

• 24

• 7,776

• 48

• 96

Write the explicit formula for the sequence.

Write the explicit formula for the sequence.

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.

• a_n = 729(1/3)^n-1

• a_n = 729(3)^n-1

• a_n = 1/3(a_n-1)

• a_n = 1/3(729)^n-1

Consider the following sequence shown.

Write an explicit formula for this sequence.

• a_n = 5 + 4(n - 1)

• a_n = 4 + 5(n - 1)

• g_n = 5 · 4^n-1

• g_n = 4 · 5^n-1

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

The explicit equation for this table is

• a_n = 4n - 1

• a_n = 4ⁿ

• a_n = 3ⁿ

• a_n = 3(4)^{n - 1}

Match the following

• a₁ = 8

  a_n = a_n-1 ⋅ 0.5

• a₁ = 24

  a_n = a_n-1 ⋅ 3

• a_n = -20 - 6(n-1)

• a_n = 8 ⋅ (0.5)^n-1

• a_n = 5 + 3(n-1)

• a_n = a_n-1 + 3

  a₁ = 5

• a_n = 24 ⋅ (3)^n-1

• a_n = 0.5 ⋅ (8)^n-1

• a₁ = 0.5

  a_n = a_n-1 ⋅ 8

• a₁ = -20

  a_n = a_n-1 - 6

Given the recursive formula, write the explicit formula for the geometric sequence.