Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Our community is here to provide detailed and trustworthy answers to any questions you may have.
Sagot :
To describe the recursive function used to generate the given arithmetic sequence, let's identify two key components: the first term (initial term) and the common difference.
The sequence provided is:
[tex]\[ 14, 24, 34, 44, 54, \ldots \][/tex]
1. Identifying the Initial Term:
The first term in the sequence is [tex]\(14\)[/tex].
2. Identifying the Common Difference:
To find the common difference, we subtract the first term from the second term:
[tex]\[ 24 - 14 = 10 \][/tex]
Thus, each term is obtained by adding [tex]\(10\)[/tex] to the previous term.
With this information, we can define the recursive function for the arithmetic sequence. The initial term is [tex]\(14\)[/tex] and the common difference is [tex]\(10\)[/tex].
Therefore, the correct statement describing the recursive function is:
The common difference is [tex]\(10\)[/tex], so the function is [tex]\( f(n+1) = f(n) + 10 \)[/tex] where [tex]\( f(1) = 14 \)[/tex].
The sequence provided is:
[tex]\[ 14, 24, 34, 44, 54, \ldots \][/tex]
1. Identifying the Initial Term:
The first term in the sequence is [tex]\(14\)[/tex].
2. Identifying the Common Difference:
To find the common difference, we subtract the first term from the second term:
[tex]\[ 24 - 14 = 10 \][/tex]
Thus, each term is obtained by adding [tex]\(10\)[/tex] to the previous term.
With this information, we can define the recursive function for the arithmetic sequence. The initial term is [tex]\(14\)[/tex] and the common difference is [tex]\(10\)[/tex].
Therefore, the correct statement describing the recursive function is:
The common difference is [tex]\(10\)[/tex], so the function is [tex]\( f(n+1) = f(n) + 10 \)[/tex] where [tex]\( f(1) = 14 \)[/tex].
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.