QQuestionMathematics
QuestionMathematics
There are _____ terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Identify the Pattern
Let's examine the sequence: 1, 3, 9, 27, 81, 243, 6561 We can see that each term is being multiplied by a constant number.
Step 3:: Determine the Multiplication Factor
\frac{6561}{243} = 3
Let's calculate the ratio between consecutive terms:
Step 4:: Recognize the Exponential Sequence
This is a geometric sequence where each term is $$3^{n-1}$$, where n is the position in the sequence.
Step 5:: Count the Terms
7th term: $$3^{6} = 6561
Let's list out the terms:
Final Answer
7 terms are in the sequence 1, 3, 9, 27, 81, 243, 6561.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students