Problem

2. Find the 10 th term of the geometric sequence $3,6,12, \ldots$

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The 10th term of the geometric sequence is \(\boxed{1536}\).

Steps

Step 1 ：Given a geometric sequence with the first term \(a_1 = 3\), the common ratio \(r = 2\), and we are asked to find the 10th term \(n = 10\).

Step 2 ：The formula for the nth term of a geometric sequence is \(a_n = a_1 * r^{(n-1)}\).

Step 3 ：Substitute the given values into the formula: \(a_n = 3 * 2^{(10-1)}\).

Step 4 ：Simplify the expression to find the 10th term: \(a_n = 1536\).

Step 5 ：Final Answer: The 10th term of the geometric sequence is \(\boxed{1536}\).

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More