![]() Although calculating an arithmetic sequence is pretty simple, the main challenge lies in calculating a geometric sequence. It is often seen that students get confused when it comes to deciding whether a given sequence is an arithmetic sequence or a geometric sequence. It is used to calculate interest rates provided by different financial institutions and also to calculate the population growth of a country. However, a geometric sequence also has its fair share of uses. If you think that these 2 sequences do not have any real-life uses, then you should think again.īoth have their individual uses and importance in different day to day lives.Īrithmetic sequences are used in various financial sectors and can prove to be rather useful when it comes to calculating your savings and personal financial increments. With the help of this detailed discussion about the differences between an arithmetic sequence and a geometric sequence, you should be clear about it by now. Frequently Asked Questions (FAQ) About Arithmetic and Geometric Sequence Whereas, in a geometric sequence there is no such rule as the numbers may progress alternatively in a positive and negative manner in the same sequence. In an arithmetic sequence, the numbers may either progress in a positive or negative manner depending upon the common difference.On the other hand, when it comes to a geometric sequence, the variation is in an exponential form. When it comes to an arithmetic sequence, the variation is in a linear form.The difference between two consecutive terms in an arithmetic sequence is known as the common difference that is represented by “d”, and the number by which terms multiple or divide in a geometric sequence is known as the common ratio represented by “r”.However, a geometric sequence is a sequence of numbers where each new number is calculated by multiplying the previous number by a fixed and non-zero number. An arithmetic sequence is a sequence of numbers that is calculated by subtracting or adding a fixed term to/from the previous term.Main Differences Between Arithmetic and Geometric Sequence On the other hand, the practical application of geometric sequence is to find out population growth, interest, etc.If the common ratio is 1, then the progression will be a constant sequence. Further, an arithmetic sequence can be used find out savings, cost, final increment, etc. Hence, with the above discussion, it would be clear that there is a huge difference between the two types of sequences. The infinite arithmetic sequences, diverge while the infinite geometric sequences converge or diverge, as the case may be.As against this, the variation in the elements of the sequence is exponential. In an arithmetic sequence, the variation in the members of the sequence is linear.As opposed to, geometric sequence, wherein the new term is found by multiplying or dividing a fixed value from the previous term. In an arithmetic sequence, the new term is obtained by adding or subtracting a fixed value to/from the preceding term.On the contrary, when there is a common ratio between successive terms, represented by ‘r’, the sequence is said to be geometric. A sequence can be arithmetic, when there is a common difference between successive terms, indicated as ‘d’.A set of numbers wherein each element after the first is obtained by multiplying the preceding number by a constant factor, is known as Geometric Sequence. As a list of numbers, in which each new term differs from a preceding term by a constant quantity, is Arithmetic Sequence.The following points are noteworthy so far as the difference between arithmetic and geometric sequence is concerned: Key Differences Between Arithmetic and Geometric Sequence Geometric Sequence is a set of numbers wherein each element after the first is obtained by multiplying the preceding number by a constant factor.Ĭommon Difference between successive terms. Content: Arithmetic Sequence Vs Geometric SequenceĪrithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Here, in this article we are going to discuss the significant differences between arithmetic and geometric sequence. In an arithmetic sequence, the terms can be obtained by adding or subtracting a constant to the preceding term, wherein in case of geometric progression each term is obtained by multiplying or dividing a constant to the preceding term. On the other hand, if the consecutive terms are in a constant ratio, the sequence is geometric. ![]()
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