Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Sure! Let's find the largest number in the given sequence, which is described by the formula [tex]\( 60 - 8n \)[/tex].
1. Understand the formula: The formula given is [tex]\( 60 - 8n \)[/tex], where [tex]\( n \)[/tex] represents the term number in the sequence.
2. Identify the behavior of the sequence: The sequence is decreasing because the term [tex]\( -8n \)[/tex] will become more negative as [tex]\( n \)[/tex] increases. Hence, the larger the [tex]\( n \)[/tex], the smaller the term value.
3. Determine the value of [tex]\( n \)[/tex] that gives the largest term: Since the sequence decreases as [tex]\( n \)[/tex] increases, the largest term will be when [tex]\( n \)[/tex] is the smallest possible value. Generally, in sequences, [tex]\( n \)[/tex] starts from 0.
4. Substitute [tex]\( n = 0 \)[/tex] into the formula:
[tex]\[ \text{term} = 60 - 8 \times 0 \][/tex]
Simplifying this, we get:
[tex]\[ \text{term} = 60 - 0 = 60 \][/tex]
Hence, the largest number in the sequence [tex]\( 60 - 8n \)[/tex] is [tex]\( 60 \)[/tex].
1. Understand the formula: The formula given is [tex]\( 60 - 8n \)[/tex], where [tex]\( n \)[/tex] represents the term number in the sequence.
2. Identify the behavior of the sequence: The sequence is decreasing because the term [tex]\( -8n \)[/tex] will become more negative as [tex]\( n \)[/tex] increases. Hence, the larger the [tex]\( n \)[/tex], the smaller the term value.
3. Determine the value of [tex]\( n \)[/tex] that gives the largest term: Since the sequence decreases as [tex]\( n \)[/tex] increases, the largest term will be when [tex]\( n \)[/tex] is the smallest possible value. Generally, in sequences, [tex]\( n \)[/tex] starts from 0.
4. Substitute [tex]\( n = 0 \)[/tex] into the formula:
[tex]\[ \text{term} = 60 - 8 \times 0 \][/tex]
Simplifying this, we get:
[tex]\[ \text{term} = 60 - 0 = 60 \][/tex]
Hence, the largest number in the sequence [tex]\( 60 - 8n \)[/tex] is [tex]\( 60 \)[/tex].
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.