formulas for sums of geometric and arithmetic sequences

On the other hand, the practical application of geometric sequence is to find out population growth, interest, etc. 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. What is Arithmetic Sequence Click Here for Sample Questions An arithmetic sequence can be regarded as an ordered set of numbers that have a common difference in terms of value between each consecutive term.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.

Formulas for sums of geometric and arithmetic sequences