![]() ![]() It explains how to find the nth term of a sequence as well as how to find the sum of an arithmetic. The difference between the consecutive terms is a constant 3, therefore the sequence is an arithmetic sequence. This video provides a basic introduction into arithmetic sequences and series. Sum of Arithmetic and Geometric Series 4. Revision of number patterns covered in previous grades 2. In the above example, the reciprocal of the terms would give us the following arithmetic sequence, therefore we can say that the list is arranged in a harmonic sequence. SERIES Arithmetic and Geometric Sequences and Series fContent to be Covered 1. This constant is also known as common ratio. You can see that in the above example, each successive term is obtained by multiplying the previous term by a fixed constant 2. A geometric sequence is also known as geometric progression. The number which is multiplied or divided by the previous term to get the next term is known as a common ratio and is denoted by r. In a geometric sequence, each term is obtained by multiplying or dividing the previous term with a particular number. Use the following formula to compute the sum of arithmetic sequence: ![]() Now, let us see what are some of the formulae related to the arithmetic sequence.įormula for Finding the Sum of the Arithmetic Sequence In the above sequence, the difference between the successor and predecessor is -4. Since this constant is positive, so we can say that the arithmetic sequence is increasing. This constant 3 is known as common difference (d). You can see in the above example that each next term is obtained by adding a fixed number 3 to the previous term.
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