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yes. A zero common difference represents a constant sequence.

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โˆ™ 2008-03-25 12:53:06
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Q: Can zero be the common difference for arithmetic progression?
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Related questions

Can zero be common difference for arithmetic progression?

Yes but the progression would be a degenerate one.


What is the difference between arithmetic progression and geometric progression?

In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant. That is, Arithmetic progression U(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1) + d = U(1) + (n-1)*d Geometric progression U(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1)*r = U(1)*r^(n-1).


What is the difference of arithmetic progression to geometric progression?

In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant.That is,Arithmetic progressionU(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ...Equivalently,U(n) = U(n-1) + d = U(1) + (n-1)*dGeometric progressionU(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ...Equivalently,U(n) = U(n-1)*r = U(1)*r^(n-1).


What is the common ratio of the geometric progression?

The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.


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.


Can you divide a fraction by zero?

Division by zero is not possible in arithmetic.


Is 1 1 1 1 1 an arithmetic sequence?

Yes, with a difference of zero between terms. It is also a geometric series, with a ratio of 1 in each case.


What arithmetic operation throws arithmetic exceptions in java?

The only arithmetic exception I can think of seeing has been caused by a division by zero statement. Trying to do integer division by 0 or mod 0 will result in this arithmetic exception. Note that floating point division by zero will result in "Infinity" being returned, and floating point modulus will result in "NaN" being returned.


Number Progression 10 9 7 4?

The next term is 'zero'.


What is the difference between a geometric sequence and arithmetic sequence?

Goemetric sequence : A sequence is a goemetric sequence if an/an-1is the same non-zero number for all natural numbers greater than 1. Arithmetic sequence : A sequence {an} is an arithmetic sequence if an-an-1 is the same number for all natural numbers greater than 1.


What is the weakness of Roman Numerals?

There is no symbol for zero, which makes it very difficult to do arithmetic.


What was the advantage of the Arabic number system?

It contained a zero symbol which made arithmetic a lot easier.


What is arithmeticexception?

ArithmeticException, as the name implies denotes a general arithmetic error such as diving by zero.


What arithmetic operation can be preformed on the numbers from this sequence -3-2-10123?

Any arithmetic operation, other than division by zero, can be performed on any set of numbers in a sequence.


What is one divided by zero?

One divided by zero is an undefined operation, which leads to contradictions and nonsense.For this reason, division by zero is forbidden in arithmetic.


Why is Hindu Arabic numerals more prevalent than Roman numerals?

Because Hindu-Arabic numerals contains a zero symbol which makes arithmetic a lot easier to calculate whereas Roman numerals have no zero symbol thus making arithmetic more difficult to calculate.


Two vectors have nonzero magnitudeunder what conditions will their difference be zero?

Their DIFFERENCE will be zero if and only if they have the SAME direction.


Which type of bond is formed when electronegativity difference is zero?

which type of bond is formed when there is zero difference in electronegativity


What is the difference between -3 and -3?

Zero. In general, the difference between any number and itself is zero.


What is the conclusion for discovery of zero?

Zero was not discovered because it was conceived by ancient mathematicians thus making arithmetic easier for positional place value purposes as for example 23 is different to 203.


What is a known reference point in an electric circuit called?

A Neutral, Common, or Ground.


What is the difference between coke zero and pepsi max?

Coke zero is the same as sprite zero


If you subtract zero from 67 the difference will be 67 Is true or false?

If you subtract zero from 67 the difference will be 67 so it is true.


What is 0 in roman numerals?

The Romans did not have the concept of zero-- there is no Roman numeral for zero. This lack made it virtually impossible to do arithmetic with Roman numerals and that is why we use Arabic numerals nowadays.


What is a fraction that is undefined?

A fraction such that the divisor (denominator) is zero is undefined. Such a division is expressed as x/0 where x is the dividend (numerator). In ordinary arithmetic, the expression has no meaning so division by zero is undefined.