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What term refers to the arithmetic average of a series of numbers?
The mean
What Find the 90th term of the arithmetic sequence 16,21,26?
The 90th term of the arithmetic sequence is 461
What is a sequence in which each term is found by adding the same number?
an arithmetic series equation is a*r^(n-1) where a is the starting value, r is the number you are continuously adding, and n is the term you are looking to find
What is the next two numbers in this sequence 1.5 4 6.5 9?
The series appears to be an arithmetic series in which the n'th term is 1.5 + (n - 1)2.5. If so, the next two terms are 11.5 and 14.
What is the nth term in the arithmetic sequence?
It is a + 8d where a is the first term and d is the common difference.
What term refers to the arithmetic average of a series of numbers?
The mean
How to find the 5th term in an arithmetic sequence using the explicit rule?
Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d
Differentiate between arithmetic series and geometric series?
In an arithmetic series, each term is defined by a fixed value added to the previous term. This fixed value (common difference) may be positive or negative.In a geometric series, each term is defined as a fixed multiple of the previous term. This fixed value (common ratio) may be positive or negative.The common difference or common ratio can, technically, be zero but they result in pointless series.
What is a 'series' mean in math?
A series is a sequence of numbers that follows an identifiable pattern. There are two basic forms of series: Arithmetic, where the difference between successive terms is the same number. 1, 4, 7, 10, 13, 16, 19, 21 is an arithmetic series, each successive term is 3 larger than the previous term Geometric, were successive terms are achieved by multiplying each term by the same number 1, 2, 4, 8, 16, 32, 64, 128 is a geometric series, each successive term is the result of multiplying the previous term by 2
What Find the 90th term of the arithmetic sequence 16,21,26?
The 90th term of the arithmetic sequence is 461
Difference between AP series GPs reis?
In an arithmetic progression (AP), each term is obtained by adding a constant value to the previous term. In a geometric progression (GP), each term is obtained by multiplying the previous term by a constant value. An AP will have a common difference between consecutive terms, while a GP will have a common ratio between consecutive terms.
What is a sequence in which each term is found by adding the same number?
an arithmetic series equation is a*r^(n-1) where a is the starting value, r is the number you are continuously adding, and n is the term you are looking to find
What is the next two numbers in this sequence 1.5 4 6.5 9?
The series appears to be an arithmetic series in which the n'th term is 1.5 + (n - 1)2.5. If so, the next two terms are 11.5 and 14.
Rule to finding terms in a arithmetic sequence?
The nth term of an arithmetic sequence = a + [(n - 1) X d]
The answer to this question Find the sum of the first 25 elements what series -5 19 43 67?
-5 19 43 67 ...This is an arithmetic sequence because each term differs from the preceding term by a common difference, 24.In order to find the sum of the first 25 terms of the series constructed from the given arithmetic sequence, we need to use the formulaSn = [2t1 + (n - 1)d] (substitute -5 for t1, 25 for n, and 24 for d)S25 = [2(-5) + (25 - 1)24]S25 = -10 + 242S25 = 566Thus, the sum of the first 25 terms of an arithmetic series is 566.
What is the nth term in the arithmetic sequence?
It is a + 8d where a is the first term and d is the common difference.
What is the sequence if the sum of the first 10 terms is the same as the 58th term?
There are many sequences with this property: The sequence with every term equal to 0 has this property. In fact the sequence can be anything you like as long you make sure the 58th term is the sum of the first 10 terms. A more specific case: If you are dealing with an arithmetic sequence, i.e. a sequence of the form s(n)=a+bn for constants a and b, we can derive a relationship between a and b: s(1)+s(2)+...+s(10)=10a+55b and s(58)=a+58b From this, it follows that if s(1)+s(2)+...+s(10)=s(58), then we have 10a+55b=a+58b, which implies that 3a=b. Again, there are infinitely many sequences with this property, but if it is an arithmetic sequence, it will be of the general form s(n)=a+3an=a(3n+1)
