Geometric Sequences (Explicit & Recursive)

2

What is the common ratio? 5,__,__40

a(n) = -2(-3)ⁿ⁻¹

What is the explicit formula for -2, 6, -18, 54...?

f(n)= 3(-2)ⁿ⁻¹

What is the explicit formula for 3, -6, 12, -24...?

f(n) = 3(½)ⁿ⁻¹

What is the explicit formula for 3, 3/2, 3/4, 3/8...?

a(n) = -1(2)ⁿ⁻¹

What is the explicit formula for-1, -2, -4, -8, ...?

f(1) = -2 f(n) = -3*f(n-1), n>1

What is the recursive formula for -2, 6, -18, 54...?

f(1) = 3 f(n) = ½*f(n-1), n>1

What is the recursive formula for 3, 3/2, 3/4, 3/8...?

f(1) = -1 f(n) = 2*f(n-1), n>1

What is the recursive formula for-1, -2, -4, -8, ...?

(1/3)

Find the common ratio of the sequence: 81, 27, 9

t(n) = 48(1/2)ⁿ⁻¹

Find the equation of the sequence: 48, 24, 12, 6, 3

f(n)=1(4)ⁿ⁻¹

Find the explicit rule for the sequence: 1, 4, 16...

f(n)=125(1/5)ⁿ⁻¹

Find the explicit rule for the sequence: 125, 25, 5...

1, -4, 16, -64, 256

Find the first five terms of the sequence: t(n) = 1(-4)ⁿ⁻¹

486

Find f(6) for the given sequence: 2, 6, 18...