Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Given a1 = 1/4 and a common ratio of 8,find the 9th term in the sequence.​

Sagot :

PLEASE MARK ME AS BRAINLIEST PLEASE

a1=-256

r= -1/4

Approximated the sum of the first 17 terms to the nearest tenth. Sum= -204.8

The 9th term in the geometric sequence is 4194304.

What is geometric Sequence?

"A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term. So a geometric sequence is in form a, ar, a[tex]r^{2}[/tex]... where 'a' is the first term and 'r' is the common ratio of the sequence. The common ratio can be either a positive or a negative real number."

We have

[tex]a_{1}[/tex] = [tex]\frac{1}{4}[/tex]

Common ratio (r) = 8

Formula to find 9th term in the geometric sequence

[tex]a_{n}= a_{1} r^{n-1}[/tex]

⇒[tex]a_{9}= \frac{1}{4}[/tex] × [tex]8^{(8-1)}[/tex]

⇒[tex]a_{9}= \frac{1}{4}[/tex] × [tex]8^{8}[/tex]

⇒[tex]a_{9}= \frac{1}{4}[/tex] × [tex]16777216[/tex]

⇒[tex]a_{9} =4194304[/tex]

Hence, the 9th term in the geometric sequence is 4194304.

Learn more about geometric sequence here

https://brainly.com/question/11266123

#SPJ2

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.