Series refers to the sum of the elements of the sequence. Order Important Sometimes important Example 1, 3, 5, 7, 9, In mathematics, an ordered set of objects or numbers, like a 1 , a 2 , a 3 , a 4 , a 5 , a 6 ……a n…. The members of the sequence are called term or element which is equal to any value of the natural number. Every term in a sequence is related to the preceding and succeeding term. In general, sequences have a hidden rules or pattern, which helps you find out the value of the next term.
The nth term is the function of integer n positive , regarded as the general term of the sequence. A sequence can be finite or infinite. The addition of the terms of a sequence a n , is known as series. A sequence is represented as 1,2,3,4, In sequence, the order of elements has to be maintained, whereas in series the order of elements is not important.
Sequence and Series Formulas. Formulas for Arithmetic Sequence:. Formulas for Geometric Sequence. Formula for Series. Sequence and Series Examples. Example Write an A. P when its first term is 10 and the common difference is 3.
So let put its value in the equation. We get,. Example 2. We get. Explanation: A sequence is a list of values considered as individual terms. Related questions How do I find the sum of an arithmetic sequence? What is the formula for the sum of an arithmetic sequence?
What are common mistakes students make when finding the sum of an arithmetic sequence? How do I find the sum of an arithmetic sequence on a calculator? How do I find the partial sum of an arithmetic sequence? How do I find the partial sum of an arithmetic sequence on a TI?
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