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What is the Th term of the arithmetic sequence given by the explicit rule?
The answer depends on what the explicit rule is!
What type of graph represents the sequence given by the explicit formula an 5 n - 12?
-7
How do you calculate the explicit formula and the nth term of a Fibonacci sequence?
Good Question! After 6 years of math classes in college, and 30+ years of teaching (during which I took many summer classes) I've never seen an explicit formula for the nth term of the Fibonacci sequence. Study more math and maybe you can discover the explicit formula that you want.
What recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?
-7
What is the formula to find the sum of a geometric sequence?
The formula to find the sum of a geometric sequence is adding a + ar + ar2 + ar3 + ar4. The sum, to n terms, is given byS(n) = a*(1 - r^n)/(1 - r) or, equivalently, a*(r^n - 1)/(r - 1)
Is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term is 23?
Yes, the explicit rule for a geometric sequence can be defined from a recursive formula. If the first term is 23 and the common ratio is ( r ), the explicit formula can be expressed as ( a_n = 23 \cdot r^{(n-1)} ), where ( a_n ) is the nth term of the sequence. This formula allows you to calculate any term in the sequence directly without referencing the previous term.
What is the explicit formula for sequence 3 4.5 6.75 10.125?
The given sequence can be identified as a geometric sequence where each term is multiplied by a common ratio. To find the explicit formula, we note that each term can be expressed as ( a_n = 3 \times (1.5)^{n-1} ), where ( n ) is the term number starting from 1. Thus, the explicit formula for the sequence is ( a_n = 3 \times (1.5)^{n-1} ).
Find the explicit formula for the sequence?
The explicit formula for a sequence is a formula that allows you to find the nth term of the sequence directly without having to find all the preceding terms. To find the explicit formula for a sequence, you need to identify the pattern or rule that governs the sequence. This can involve looking at the differences between consecutive terms, the ratios of consecutive terms, or any other mathematical relationship that exists within the sequence. Once you have identified the pattern, you can use it to create a formula that will generate any term in the sequence based on its position (n) in the sequence.
How is explicit formula for a compound interest geometric sequence?
The explicit formula for compound interest can be expressed as ( A = P(1 + r)^n ), where ( A ) is the amount after ( n ) periods, ( P ) is the principal amount, ( r ) is the interest rate, and ( n ) is the number of compounding periods. This formula represents a geometric sequence because each term (the amount after each compounding period) is derived by multiplying the previous term by a constant factor ( (1 + r) ). Consequently, the sequence of amounts grows exponentially, illustrating the characteristics of geometric growth.
What is the difference between a geometric sequence and a recursive formula?
what is the recursive formula for this geometric sequence?
What is the explicit formula for this sequence?
To provide an explicit formula for a sequence, I need to know the specific sequence you're referring to. Please provide the first few terms or any relevant details about the sequence, and I'll be happy to help you derive the formula!
What is an explicit formula For a compound interest geometric sequence?
An explicit formula for a compound interest geometric sequence can be expressed as ( A = P(1 + r)^n ), where ( A ) is the amount of money accumulated after n years, ( P ) is the principal amount (the initial investment), ( r ) is the annual interest rate (in decimal form), and ( n ) is the number of compounding periods (years). This formula reflects how the investment grows exponentially due to the effect of compounding interest. Each term in the sequence represents the total amount at the end of each compounding period.
What is the Th term of the arithmetic sequence given by the explicit rule?
The answer depends on what the explicit rule is!
What type of graph represents the sequence given by the explicit formula an 5 n - 12?
-7
What is the geometric sequence formula?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
What is the recursive formula for this geometric sequence 4-1236-108...?
4, -1236, -108 is not a geometric system.
What is An arithmetic sequence has this recursive formula What is the explicit formula for this sequence?
An arithmetic sequence can be defined by a recursive formula of the form ( a_n = a_{n-1} + d ), where ( d ) is the common difference and ( a_1 ) is the first term. The explicit formula for this sequence is given by ( a_n = a_1 + (n-1)d ). Here, ( n ) represents the term number in the sequence. This formula allows you to calculate any term directly without needing to reference the previous term.
