Question

for each sequence below, find the common ratio, zeroth term and the equation. use the equation to find the nth term. find the 5th term. t(n)= - 4(2)^n. find t(3). t(n)=6(-\frac{1}{2})^n

Explanation:

Step1: Identify the formula and value of n

We are given the formula $t(n)= - 4(2)^{n}$ and we need to find the 5th - term, so $n = 5$.

Step2: Substitute n into the formula

Substitute $n = 5$ into $t(n)=-4(2)^{n}$, we get $t(5)=-4\times(2)^{5}$.

Step3: Calculate the power

First, calculate $(2)^{5}=2\times2\times2\times2\times2 = 32$.

Step4: Multiply

Then, $t(5)=-4\times32=-128$.

Answer:

-128