n-1 c(n) = -6 What is the 2nd term in the sequence?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image presents a mathematical expression for a sequence and poses a question about it:

The formula for the sequence is:

\[ c(n) = -6 \left( \frac{1}{3} \right)^{n-1} \]

The question asks:

"What is the 2nd term in the sequence?"

To find the 2nd term, substitute \( n = 2 \) into the formula:

\[ c(2) = -6 \left( \frac{1}{3} \right)^{2-1} = -6 \left( \frac{1}{3} \right)^1 = -6 \times \frac{1}{3} = -2 \]

Therefore, the 2nd term in the sequence is \(-2\).
Transcribed Image Text:The image presents a mathematical expression for a sequence and poses a question about it: The formula for the sequence is: \[ c(n) = -6 \left( \frac{1}{3} \right)^{n-1} \] The question asks: "What is the 2nd term in the sequence?" To find the 2nd term, substitute \( n = 2 \) into the formula: \[ c(2) = -6 \left( \frac{1}{3} \right)^{2-1} = -6 \left( \frac{1}{3} \right)^1 = -6 \times \frac{1}{3} = -2 \] Therefore, the 2nd term in the sequence is \(-2\).
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