Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned? A sequence is defined by the recursive formula
f(n + 1) = 1.5f(n)
.
Which recursive formula can be used to determine the total amount of time spent making hats?
Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously? A sequence is defined recursively using the equation
f(n+1)=f(n)-8
.
Which recursive formula can be used to generate the sequence?
A sequence is defined recursively by the formula
f(n + 1) = f(n) + 3
. The first term of the sequence is -4. What is the next term in the sequence? A sequence is defined recursively using the equation f(n + 1) = f(n) – 8.
Which recursive formula can be used to generate the sequence shown where f 1 )= 6 and n 1?
The recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1 is
f(n + 1) = f(n) – 5
.
Which formula can be used to describe the sequence?
A geometric sequence is one in which a term of a sequence is obtained by multiplying the previous term by a constant. It can be described by the formula
an=r⋅an−1 a n = r ⋅ a n − 1 .
What is the common difference between successive terms in the sequence?
Key Concepts. An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. The constant between two consecutive terms is called the common difference. The common difference is
the number added to any one term of an arithmetic sequence that generates the subsequent term
.
What is the common ratio between successive terms in the sequence 27 9 3 1?
The common ratio between successive terms in the sequence 27, 9, 3, 1,… is
1/3
.
What are the first three terms of an arithmetic sequence?
The first three terms are,
in order, displaystyle x-d, x, x+d
. The sum of the first three terms is . Now we know that the second term is 37. The fourth term is the second term plus twice the common difference: .
What is recursive formula?
A recursive formula is
a formula that defines each term of a sequence using preceding term(s)
. Recursive formulas must always state the initial term, or terms, of the sequence.
Which recursive formula can be used to generate the sequence below where f 1 )= 5 and n?
The Answer is
f (n + 1) = f(n) – 5
.
How can a sequence be used to determine the height of a ball when it reaches its fourth peak?
Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. … So, the
bounce heights form a geometric sequence
: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Which sequences are arithmetic?
Sequences with such patterns are called arithmetic sequences. In an arithmetic sequence,
the difference between consecutive terms is always the same
. For example, the sequence 3, 5, 7, 9 … is arithmetic because the difference between consecutive terms is always two.
What is Fibonacci sequence formula?
It is:
a
n
= [Phi
n
– (phi)
n
] / Sqrt[5]
. phi = (1 – Sqrt[5]) / 2 is an associated golden number, also equal to (-1 / Phi). This formula is attributed to Binet in 1843, though known by Euler before him.
What are the 4 types of sequence?
- Arithmetic Sequences.
- Geometric Sequences.
- Harmonic Sequences.
- Fibonacci Numbers.
How important are sequences and series in your life?
As we discussed earlier, Sequences and Series play an important role in various aspects of our lives. They
help us predict, evaluate and monitor the outcome of a situation or event and help us a lot in decision making
.
What is the common difference in the following arithmetic sequence 2 8 14 20?
The common difference between successive terms in the sequence 2, 8, 14, 20, 26, … is
6
.
