Explicit Form Geometric

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

Now we will look at our OTHER type of sequence...

We know arithmetic sequences have an adding pattern...

Well GEOMETRIC sequences have a MULTIPLYING pattern.

Given the sequence 3, 6, 12, 24, ..., what is the common ratio?

Hint: A common ratio is the sequence's multiplier.

• 2

• 4

• 6

• 8

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

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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)

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

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 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 = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ