Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
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
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
