Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Remember that in a Geometric Sequence each term is found by multiplying the previous term by a constant.
In general, we write a geometric secuence as:
[tex]a,ar,ar^2,ar^3\ldots[/tex]Where:
• a, is the first term of the sequence
,• r ,is the common ratio (the factor between the terms)
For the particular sequence we're given, notice that we start at 4 and multiply by 3 in each step. This way,
[tex]\begin{gathered} a=4 \\ r=3 \end{gathered}[/tex]Therefore, the formula to calculate the value of the n-th step of the sequence is:
[tex]4\cdot3^{n-1}[/tex]For the ninth term (n = 9):
[tex]\begin{gathered} 4\cdot3^{9-1} \\ \rightarrow4\cdot3^8 \\ \Rightarrow26244 \end{gathered}[/tex]This way, the nith term of the geometric sequence is 26244
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
