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An arithmetic sequence.

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โˆ™ 2014-01-14 20:18:12
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Q: What is it where you find terms by adding the common difference to the previous terms?
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How do you find the common difference between two adjacent terms?

Subtract the previous one from the current one.


What is the difference between any two successive terms in a arithmetic sequence?

It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".


What is the difference between invoice and bill?

What is the difference between Invoice & Bill, in common terms. What is the difference between Invoice & Bill, in common terms.


What number is next 1 4 10 22?

One possibility is that the sequence continues: 46, 94, 190, ... The difference between the given terms is 3, 6, 12; so the sequence continues by doubling the previous difference: 24, 48, 96, ... and adding it to the previous number.


How is the procedure for adding like terms is similar to the procedure for adding fractions?

Adding like terms can be like adding fractions. You can only add fractions with a common denomonator. You can only combine terms together if they are like. Think of like terms as denomonators. You can only add if they are like.


How can you determine whether the arithmetic sequence has a positive common difference or a negative common difference?

If the terms get bigger as you go along, the common difference is positive. If they get smaller, the common difference is negative and if they stay the same then the common difference is 0.


The difference of tectonic plates and crustal plates?

There is no difference in the common usage of these terms.


What is the definition of common difference in simple terms?

weena


Why do you need the lowest common denominator for adding but not multiplying fractions?

This follows from the way in which addition and multiplication are defined. Addition requires like terms, multiplication does not. Incidentally, "like terms" are also required for adding algebraic terms but not for multiplying.


What is a sequence in which a common difference separates terms?

arithmetic sequence


What is the difference between adding like terms and multipling like terms?

It is: 2x and 5x are like terms Addition: 2x+5x = 7x Multiplication: 2x*5x = 10x2


What is a sequence where consecutive terms have a common difference?

1 2 3 4 5 6 7 8 9 10 11 12 The common difference between consecutive terms is 1.


Is geometric sequence multiplying and dividing?

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)


When is it useful to find the LCM or GCF of two or more numbers to solve a problem?

When adding or subtracting fractions with different denominators and when reducing fractions to their lowest termsWhen adding or subtracting fractions with different denominators their lowest common multiple is needed and when reducing fractions to their lowest terms their greatest common factor is needed.


Does the terms of an arithmetic sequence have a common ratio?

No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.


What is the difference between common good and general welfare?

Depending on the context of the terms it might indeed display a difference. In common parlance however there would be no difference between them. Considering common and general to mean the same thing, there is no difference. Considering welfare not as "free stuff" but meaning the same as good then there is no difference.


Difference between value and wealth maximization?

value maximization consist of the total return enhanced from previous return in terms of amount but wealth is something added to the total value in terms of amount.


What is the difference between Sufferage and enfranchisement?

Very similar terms that in common parlance be used interchangeably.


What is a fibinacci sequeance?

A Fibonacci sequence is a mathematical sequence that starts with zero, and continues by adding the previous two terms. The Fibonacci sequence starts: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. Each term from the second term onwards is achieved by adding the pervious two terms.


What is an common difference?

A common difference is a mathematical concept that appears in arithmetic sequences. An arithmetic sequence is a sequence of numbers, U(1), U(2), ... generated by the following rule: U(1) = a U(2) = U(1) + d U(3) = U(2) + d and, in general, U(n) = U(n-1) + d that is, you have a starting number a and, after that, each term in the sequence is found by adding a fixed number, d, to the previous term in the sequence. An equivalent formulation is U(n) = a + (n-1)*d The difference between any two consecutive terms is d and this is the common difference. For example, in the sequence 3, 7, 11, 15, 19, .... the common difference is 4. This is because 7-3 = 4 11-7 = 4 15-11 = 4 and so on.


Rules in addition and subtraction of algebraic expression?

Addition:1. look for like terms, combine like terms by adding their numerical coefficient. In adding the numerical coefficient, you have to consider the rules in adding integers.a. to add two numbers having like signs, add their absolute values and prefix their common sign, then bring down the literal coefficient.b. to add two numbers having unlike signs, find the difference of their absolute values and prefix to the difference sign of the number having a greater absolute value, then bring down the literal coefficient.Subtraction:1. multiply the subtrahend by -1 and proceed to adding algebraic expression.


How do you simplify an expression that has several terms?

There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.


What is accomplished by factoring?

Reducing fractions to their lowest terms by finding their highest common factor of the numerator and denominator When adding or subtracting fractions with different denominators by finding their lowest common multiple


How do you know when to use common factors or common multiples to solve a problem?

When reducing fractions to their lowest terms the HCF is used When adding or subtracting fractions with different denominators the LCM is used


What is the sum of terms divided by the number of terms?

Adding together the terms and dividing them by the number of terms gives the arithmetic mean.

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