Q: Which rule will find the nth term of the arithmetic sequence -58 -65 -72 -86?

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The 90th term of the arithmetic sequence is 461

The nth term of an arithmetic sequence = a + [(n - 1) X d]

The answer depends on what the explicit rule is!

i dont get it

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

From any term after the first, subtract the preceding term.

The difference between successive terms in an arithmetic sequence is a constant. Denote this by r. Suppose the first term is a. Then the nth term, of the sequence is given by t(n) = (a-r) + n*r or a + (n-1)*r

The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.

It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.

It is a sequence of numbers which is called an arithmetic, or linear, sequence.

An arithmetic sequence

In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.

The nth term is referring to any term in the arithmetic sequence. You would figure out the formula an = a1+(n-1)d-10where an is your y-value, a1 is your first term in a number sequence (your x-value), n is the term you're trying to find, and d is the amount you're increasing by.

The following formula generalizes this pattern and can be used to find ANY term in an arithmetic sequence. a'n = a'1+ (n-1)d.

tn = a + (n - 1)d where a is the first term and d is the difference between each term.

Arithmetic Sequence

Arithmetic- the number increases by 10 every term.

Add a constant number to one term to find the next term

You first have to figure out some rule for the sequence. This can be quite tricky.

The one number, 491419 does not constitute a sequence!

One number, such as 7101316 does not define a sequence.

A term in math usually refers to a # in a arithmetic/geometric sequence

There is only one type of arithmetic sequence.The sequence may be defined by a "position-to-value" rule. This would be of the form:U(n) = a + n*dwhere a a constant which equals what the 0th term in the sequence would be,d is also a constant - the common difference between each term in the sequence and the preceding term.and n is a variable that is a counter for the position of the term in the sequence.The same sequence can be defined iteratively by:U(0) = aU(n+1) = U(n) + d for n = 1, 2, 3, ...

T(n) = 5n + 16

It is a + 8d where a is the first term and d is the common difference.

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