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In an arithmetic sequence, the difference between any term and the previous term is a constant.

Q: What is it called when the constant difference of any term and the previous term?

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... is called a constant term. (I couldn't delete this ... see Anand Mehta above.)

A geometric sequence (aka Geometric Progression or GP) is one where each term is the previous term multiplied by a constant (the common difference) As division is the inverse of multiplication, each term can also be said to be the previous term divided by the reciprocal of the constant. The sum Sn of n terms of a GP can be found by: Sn = a(1 - rⁿ)/(1 - r) = a(rⁿ - 1)/(r - 1) where: a is the first term r is the common difference n is the number of terms If the value of the common difference is between -1 and 1 (ie |r| < 1), then the sum of the GP will be finite since as n→ ∞ so rⁿ → 0, and will be: S = a/(1 - r)

A term that has no variable part is usually called a constant.

A term in an expression?

3 is called the constant term and the 6n is called the linear term.

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The constant increment.

... is called a constant term. (I couldn't delete this ... see Anand Mehta above.)

If I understand your question, you are asking what kind of sequence is one where each term is the previous term times a constant. The answer is, a geometric sequence.

It may be called "the constant term".

A geometric sequence (aka Geometric Progression or GP) is one where each term is the previous term multiplied by a constant (the common difference) As division is the inverse of multiplication, each term can also be said to be the previous term divided by the reciprocal of the constant. The sum Sn of n terms of a GP can be found by: Sn = a(1 - rⁿ)/(1 - r) = a(rⁿ - 1)/(r - 1) where: a is the first term r is the common difference n is the number of terms If the value of the common difference is between -1 and 1 (ie |r| < 1), then the sum of the GP will be finite since as n→ ∞ so rⁿ → 0, and will be: S = a/(1 - r)

it is called a constant term.

Calculate the constant difference: e.g. 21,17,13,9,5,1,... The difference is -4. Subtract that difference from the first term. 21 - -4 = 25 The 0th term is 25.

A term that has no variable part is usually called a constant.

A term in an expression?

3 is called the constant term and the 6n is called the linear term.

It is called a constant term. It is number only and contains no variables

Either called a "term" or a "constant"