Try the fastest way to create flashcards
Question

# Consider this geometric sequence: $3,6,12,24,48, \ldots$ a. What is the common ratio r? b. Call the general term of this sequence $A_{n}$. Suppose that the starting subscript for the sequence is 0. Thus, the initial term is $A_{0}=3$. What is a recursive formula for this sequence? What is a function formula for this sequence? Write both formulas in the form $"A_{n}=\ldots,$") c. Suppose the starting subscript is 1. Thus, $A_{1}=3$. What is a recursive formula for the sequence in this case? What is a function formula? (Write both formulas in the form $"A_{n}=\ldots$." d. Compare the formulas in Parts b and c. Explain similarities and differences.

Solution

Verified
Step 1
1 of 5

In this problem, we are going to analyze geometric sequences.

We are given the sequence

$\{3,6,12,24,48,\ldots\}$

## Recommended textbook solutions #### Core Plus Mathematics, Course 3, Student Edition

1st EditionISBN: 9780076657964 (1 more)McGraw-Hill
1,241 solutions #### Cambridge IGCSE Mathematics Core and Extended

4th EditionISBN: 9781510421684Ric Pimentel
1,758 solutions #### Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions #### Big Ideas Math Integrated Mathematics III

1st EditionISBN: 9781680330878Boswell, Larson
3,800 solutions