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What does the term first difference mean in math?

The phrase "first difference" is usually associated with a sequence of numbers: a(1), a(2), a(3), a(4), ... . The sequence may have a simple rule for generating the numbers , a complicated rule or, if it is a random sequence, no rule at all.The sequence of first differences is a(2)-a(1), a(3)-a(2), a(4)-a(3), ...


How is a arithmetic sequence found?

You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.


What are the first 3 numbers of the Fibonacci numbers sequence?

1, 1 and 2


What is a index of a number sequence?

It is the counter that tells you the position of the numbers in the sequence: the first, second and so on.


How many even numbers are between 1 and 70?

There are 34 even numbers between 1 and 70. The even numbers in this range start from 2 and go up to 70, forming the sequence 2, 4, 6, ..., 70. This sequence can be calculated using the formula for the nth term of an arithmetic sequence, where the first term is 2, the common difference is 2, and the last term is 70. Since the sequence contains 34 terms, there are 34 even numbers in total.

Related Questions

What is an arthimetic sequence?

It is an ordered set of numbers in which the difference between any member of the sequence (except the first) and its predecessor is a constant.


What does the term first difference mean in math?

The phrase "first difference" is usually associated with a sequence of numbers: a(1), a(2), a(3), a(4), ... . The sequence may have a simple rule for generating the numbers , a complicated rule or, if it is a random sequence, no rule at all.The sequence of first differences is a(2)-a(1), a(3)-a(2), a(4)-a(3), ...


How is a arithmetic sequence found?

You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.


What is the common difference of the following sequence of numbers 10 4 -2 -8?

The common difference is 6; each number after the first equals the previous number minus 6.


What is the definition of arithmetic sequence?

An arithmetic sequence is a group or sequence of numbers where, except for the first number, each of the subsequent number is determined by the same rule or set of rules. * * * * * The above answer is incorrect. The rule can only be additive: it cannot be multiplicative or anything else.


How many times does the first five numbers go into a sequence?

It depends on (a) the first five numbers of what and(b) what sort of sequence.ANY 5 numbers can be put into a quartic sequence. So the answer is: every time.


What are the first 3 numbers of the Fibonacci numbers sequence?

1, 1 and 2


What is series in math?

It is a set of numbers derived from a sequence. The first number in the series is the first number of the sequence. The second number in the series is the sum of the first two numbers of the sequence. The third number in the series is the sum of the first three numbers of the sequence. and so on. Mathematically, a series is easily defined using the sigma notation but that, unfortunately, is beyond the scope of this browser.


What is a index of a number sequence?

It is the counter that tells you the position of the numbers in the sequence: the first, second and so on.


How do you find the 100th term of the sequence?

a + 99d where 'a' is the first term of the sequence and 'd' is the common difference.


How can you get the common difference in an arithmetic sequence?

You subtract any two adjacent numbers in the sequence. For example, in the sequence (1, 4, 7, 10, ...), you can subtract 4 - 1, or 7 - 4, or 10 - 7; in any case you will get 3, which is the common difference.


How many even numbers are between 1 and 70?

There are 34 even numbers between 1 and 70. The even numbers in this range start from 2 and go up to 70, forming the sequence 2, 4, 6, ..., 70. This sequence can be calculated using the formula for the nth term of an arithmetic sequence, where the first term is 2, the common difference is 2, and the last term is 70. Since the sequence contains 34 terms, there are 34 even numbers in total.