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What is the nth term of the geometric sequence 4 8 16 32 ...?
The given sequence is a geometric sequence where each term is multiplied by 2 to get the next term. The first term (a) is 4, and the common ratio (r) is 2. The nth term of a geometric sequence can be found using the formula ( a_n = a \cdot r^{(n-1)} ). Therefore, the nth term of this sequence is ( 4 \cdot 2^{(n-1)} ).
How do you find Function notation from geometric sequence?
To express a geometric sequence in function notation, identify the first term (a) and the common ratio (r) of the sequence. The nth term of a geometric sequence can be represented as ( f(n) = a \cdot r^{(n-1)} ), where ( n ) is the term number. For example, if the first term is 2 and the common ratio is 3, the function notation would be ( f(n) = 2 \cdot 3^{(n-1)} ). This allows you to calculate any term in the sequence using the function ( f(n) ).
What is percent of change of 75 to 90?
It's an increase of 20%... without using a calculator !
What is the two kinds of sum?
The two kinds of sums typically refer to the arithmetic sum and the geometric sum. An arithmetic sum is the total of a sequence of numbers where each term increases by a constant difference, while a geometric sum involves a sequence where each term is multiplied by a constant ratio. Both types of sums can be expressed using specific formulas to calculate their totals efficiently.
What does find the 50th termmean?
Finding the 50th term refers to identifying the value of the term that occupies the 50th position in a sequence or series. This can involve using a specific formula or rule associated with the sequence, such as an arithmetic or geometric progression. The process typically requires an understanding of the pattern or formula governing the sequence to calculate the desired term accurately.
Is a theorem proved using a geometric proof?
There is no single statement that describes a geometric proof.
What do you use geometric constructions for?
Geometric constructions are used by architects for designing buildings and public places for different purpose. As facilitator I use geometric constructions to assist learners to acquire following skills, * translating information into geometrical projections that are congruent, * experimenting with information to "design an elegant sequence" for drawing, * designing proofs to show that design is logically sound * using geometrical instruments skillfully.
How much does using a cell phone while driving increase your risk of having an accident?
400 percent
How are arithmetic and geometric sequences similar?
Arithmetic and geometric sequences are similar in that both are ordered lists of numbers defined by a specific rule. In an arithmetic sequence, each term is generated by adding a constant difference to the previous term, while in a geometric sequence, each term is produced by multiplying the previous term by a constant factor. Both sequences can be described using formulas and have applications in various mathematical contexts. Additionally, they both exhibit predictable patterns, making them useful for modeling real-world situations.
One can draw a geometric figure using?
Geometric figures can be drawn using a compass and a straight edge. This is commonly known as ruler and compass construction.
What number makes this true 4 0.4 x?
Not written very well. I am assuming you have these 3 numbers and you want to keep it in the same pattern 4, 0.4, x Mathematically I can tell you that you don't have enough information here. I can immediately think of 2 answers (there may be more) For example - using an arithmetic sequence to go from 4 to 0.4 you subtract 3.6 - now do it again and you get -3.2 Using a geometric sequence to go from 4 to 0.4 you divide by 10 - now do it again and you get 0.04 Of course you are not limited to those sequences but those are the most common. So, honestly you don't have enough information but the 2 answers that stand out are -3.2 (if you were looking for an arithmetic sequence) and 0.04 if you were looking for a geometric sequence)
A theorem is proved using a geometric proof?
True
