If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
We don't see a question like that very often at all. You've said "the following ..." twice in your question. "The following ... " means "I'm about to show you the item". In your question, there are supposed to be both a list of choices AND an arithmetic sequence "following" the question, but neither one is there. We don't stand a chance!
The one which says: tn = t(n-1) - 4, t0 = 7 or tn = 7 - 4n (for n ≥ 0).
If the formula for additional terms was the summation of the term before it, the nth term of the series would be the sum of all terms prior. In other words it would be the summation of a through n minus 1.
7 - 4n where n denotes the nth term and n starting with 0
An arithmetic sequence is a series of numbers in which the difference between consecutive terms is constant, known as the common difference. This property allows for easy calculation of any term in the sequence using a simple formula. Arithmetic sequences are commonly found in various mathematical contexts and real-world applications, such as finance and physics, making them essential in understanding linear relationships. Their predictable nature simplifies problem-solving and analysis in various fields.
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
We don't see a question like that very often at all. You've said "the following ..." twice in your question. "The following ... " means "I'm about to show you the item". In your question, there are supposed to be both a list of choices AND an arithmetic sequence "following" the question, but neither one is there. We don't stand a chance!
10 - 4n
The one which says: tn = t(n-1) - 4, t0 = 7 or tn = 7 - 4n (for n ≥ 0).
If the formula for additional terms was the summation of the term before it, the nth term of the series would be the sum of all terms prior. In other words it would be the summation of a through n minus 1.
The explicit formula for an arithmetic sequence is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, the first term a1 is 16, and the common difference d is 4. Therefore, the explicit formula for the arithmetic sequence is an = 16 + 4(n-1) = 4n + 12.
7 - 4n where n denotes the nth term and n starting with 0
An arithmetic sequence is a series of numbers in which the difference between consecutive terms is constant, known as the common difference. This property allows for easy calculation of any term in the sequence using a simple formula. Arithmetic sequences are commonly found in various mathematical contexts and real-world applications, such as finance and physics, making them essential in understanding linear relationships. Their predictable nature simplifies problem-solving and analysis in various fields.
There is no simple answer because the position of the missing number is not known. Furthermore, it is not clear whether the sequence is an arithmetic, geometric or some other sequence.
A complex formula in Excel could have many arithmetic operators in it. There are many things that make a formula complex, so a formula with just one arithmetic operator or even no arithmentic operators could be complex too, depending on what it does.
First, count how much is between each number in the sequence. That is the number you will put in front of the x. 4,5,6,7,8... y=1x+b Secondly, solve for b. In this case x=1 then b must be 3 to make it work.
If one may choose the break points, it looks like simple doubling: 3 - 6 - 12 - 24