At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
-32 , 64
Step-by-step explanation:
Geometric sequence
This is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'
[tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]
[tex]\sf r =\dfrac{4}{(-2)}[/tex]
r = -2
The next two terms ,
Fifth term = 16 *(-2) = -32
Sixth term = (-32) * (-2) = 64
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the next two terms of the following sequence?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The next two terms are -32 and 64.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
First of all, let's identify what kind of sequence this is.
The two main types of sequences are:
- [tex]\textsf{Arithmetic.}[/tex] This is where we add/subtract the same number to get to the following term.
- [tex]\textsf{Geometric.}[/tex] This is where we multiply/divide by the same number to get to the next term.
In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].
In order to get to the next term, we multiply by -2.
So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:
16•(-2)=-32
We've found the 5th term of the geometic sequence.
Now let's find the 6th:
-32•(-2)=64 (the product of a negative and a negative results in a positive)
Summary of Final Answer:-
The next two terms in the sequence are -32 and 64.
Good luck.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.