Geometric Recursive Sequence

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Determine the first 3 terms of the following sequence. t₁= -3 t_n=t_n-1(3)

• -3, 9, 27

• -3, -9, -27

• -3, -6, -9

• -3, 6,9

Which formula is used to find the recursive 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

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

• a_n = a_(n-1) + d

• a_n = r⋅a_(n-1)

• a_n = a₁ + d(n-1)

• a_n = a₁ ⋅ r^n-1

In a geometric sequence, a₄ = −9, a₅ = −27, and a₆ = −81. What is the recursive formula for this sequence?

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Find the first 6 terms of the sequence

• 1, 2, 6, 18, 54, 162

• 2, 6, 18, 54, 162, 486

• -2, -6, -18, -54, -162, -486

• -2, 1, 4, 7, 10, 13

• initial value

• increment

• starting point

• change rate

• common ratio

• opens up/down

• distance

• slope

• first term

• common difference

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1