Question

15 ns of Find the explicit formula for the geometric sequence $c_n$ given below. Note that $c_1 = 9$. $9, -\frac{9}{4}, \frac{9}{16}, -\frac{9}{64}, \frac{9}{256}, ...$ Select the correct answer below: $\circ c_n = 9(-\frac{1}{4})^n$ $\circ c_n = 9(-\frac{1}{2})^n$ $\circ c_n = -\frac{1}{4}(9)^n$ $\circ c_n = -\frac{1}{4}(9)^{n-1}$ $\circ c_n = 9(-\frac{1}{2})^{n-1}$ $\circ c_n = 9(-\frac{1}{4})^{n-1}$

          15
ns of
Find the explicit formula for the geometric sequence $c_n$ given below. Note that $c_1 = 9$.
$9, -\frac{9}{4}, \frac{9}{16}, -\frac{9}{64}, \frac{9}{256}, ...$
Select the correct answer below:
$\circ c_n = 9(-\frac{1}{4})^n$
$\circ c_n = 9(-\frac{1}{2})^n$
$\circ c_n = -\frac{1}{4}(9)^n$
$\circ c_n = -\frac{1}{4}(9)^{n-1}$
$\circ c_n = 9(-\frac{1}{2})^{n-1}$
$\circ c_n = 9(-\frac{1}{4})^{n-1}$

15
ns of
Find the explicit formula for the geometric sequence cn given below. Note that c1 = 9.
9, -(9)/(4), (9)/(16), -(9)/(64), (9)/(256), ...
Select the correct answer below:
∘ cn = 9(-(1)/(4))^n
∘ cn = 9(-(1)/(2))^n
∘ cn = -(1)/(4)(9)^n
∘ cn = -(1)/(4)(9)^n-1
∘ cn = 9(-(1)/(2))^n-1
∘ cn = 9(-(1)/(4))^n-1

Added by -Scar B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nick Johnson

03/10/2023

Step 1

Step 1: The common ratio of the geometric sequence is -1/4. Show more…

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Find the explicit formula for the geometric sequence $c_n$ given below. Note that $c_1 = 9$. 9, - 9 4 , 9 16 , - 9 64 , 9 256 , ... Select the correct answer below: O $c_n = 9(-\frac{1}{4})^n$ O $c_n = 9(-\frac{1}{2})^n$ O $c_n = -\frac{1}{4}(9)^n$ O $c_n = -\frac{1}{4}(9)^{n-1}$ O $c_n = 9(-\frac{1}{2})^{n-1}$ O $c_n = 9(-\frac{1}{4})^{n-1}$