IDNLearn.com makes it easy to find accurate answers to your questions. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.
Sagot :
Sure, let's analyze the two sequences step-by-step to determine the next two numbers.
## Sequence 1: [tex]\(0.3, 0.09, 0.027,\)[/tex] ...
Looking at the first sequence, each term appears to be generated by multiplying the previous term by a constant factor. To identify this factor, observe the following:
[tex]\[ 0.3 \times 0.3 = 0.09 \][/tex]
[tex]\[ 0.09 \times 0.3 = 0.027 \][/tex]
Thus, each term is obtained by multiplying the previous term by [tex]\( 0.3 \)[/tex].
Let's find the next two numbers in this sequence:
1. Multiply the last term [tex]\( 0.027 \)[/tex] by [tex]\( 0.3 \)[/tex]:
[tex]\[ 0.027 \times 0.3 = 0.0081 \][/tex]
2. Multiply this result ([tex]\( 0.0081 \)[/tex]) by [tex]\( 0.3 \)[/tex]:
[tex]\[ 0.0081 \times 0.3 = 0.00243 \][/tex]
So, the next two numbers in the first sequence are:
[tex]\[ 0.0081, \ 0.00243 \][/tex]
## Sequence 2: [tex]\(6, 2.4, -1.2,\)[/tex] ...
Analyzing the second sequence, each term seems to be generated by subtracting a constant value from the previous term. To identify the value, observe the following:
[tex]\[ 6 - 3.6 = 2.4 \][/tex]
[tex]\[ 2.4 - 3.6 = -1.2 \][/tex]
Thus, each term is obtained by subtracting [tex]\( 3.6 \)[/tex] from the previous term.
Let's find the next two numbers in this sequence:
1. Subtract [tex]\( 3.6 \)[/tex] from the last term [tex]\( -1.2 \)[/tex]:
[tex]\[ -1.2 - 3.6 = -4.8 \][/tex]
2. Subtract [tex]\( 3.6 \)[/tex] from this result ([tex]\( -4.8 \)[/tex]):
[tex]\[ -4.8 - 3.6 = -8.4 \][/tex]
So, the next two numbers in the second sequence are:
[tex]\[ -4.8, \ -8.4 \][/tex]
### Conclusion
The next two numbers in the patterns are:
- For the first sequence [tex]\(0.3, 0.09, 0.027,\)[/tex], the next two numbers are: [tex]\(0.0081, 0.00243\)[/tex].
- For the second sequence [tex]\(6, 2.4, -1.2\)[/tex], the next two numbers are: [tex]\(-4.8, -8.4\)[/tex].
## Sequence 1: [tex]\(0.3, 0.09, 0.027,\)[/tex] ...
Looking at the first sequence, each term appears to be generated by multiplying the previous term by a constant factor. To identify this factor, observe the following:
[tex]\[ 0.3 \times 0.3 = 0.09 \][/tex]
[tex]\[ 0.09 \times 0.3 = 0.027 \][/tex]
Thus, each term is obtained by multiplying the previous term by [tex]\( 0.3 \)[/tex].
Let's find the next two numbers in this sequence:
1. Multiply the last term [tex]\( 0.027 \)[/tex] by [tex]\( 0.3 \)[/tex]:
[tex]\[ 0.027 \times 0.3 = 0.0081 \][/tex]
2. Multiply this result ([tex]\( 0.0081 \)[/tex]) by [tex]\( 0.3 \)[/tex]:
[tex]\[ 0.0081 \times 0.3 = 0.00243 \][/tex]
So, the next two numbers in the first sequence are:
[tex]\[ 0.0081, \ 0.00243 \][/tex]
## Sequence 2: [tex]\(6, 2.4, -1.2,\)[/tex] ...
Analyzing the second sequence, each term seems to be generated by subtracting a constant value from the previous term. To identify the value, observe the following:
[tex]\[ 6 - 3.6 = 2.4 \][/tex]
[tex]\[ 2.4 - 3.6 = -1.2 \][/tex]
Thus, each term is obtained by subtracting [tex]\( 3.6 \)[/tex] from the previous term.
Let's find the next two numbers in this sequence:
1. Subtract [tex]\( 3.6 \)[/tex] from the last term [tex]\( -1.2 \)[/tex]:
[tex]\[ -1.2 - 3.6 = -4.8 \][/tex]
2. Subtract [tex]\( 3.6 \)[/tex] from this result ([tex]\( -4.8 \)[/tex]):
[tex]\[ -4.8 - 3.6 = -8.4 \][/tex]
So, the next two numbers in the second sequence are:
[tex]\[ -4.8, \ -8.4 \][/tex]
### Conclusion
The next two numbers in the patterns are:
- For the first sequence [tex]\(0.3, 0.09, 0.027,\)[/tex], the next two numbers are: [tex]\(0.0081, 0.00243\)[/tex].
- For the second sequence [tex]\(6, 2.4, -1.2\)[/tex], the next two numbers are: [tex]\(-4.8, -8.4\)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.