sum
result of addition; 16 is the sum of 12 and 4
In mathematics, sum refers to the result of adding two or more numbers or quantities together. For example, the sum of 2 and 3 is 5, and the sum of 4, 6, and 8 is 18.
In algebra, sum specially denotes the sum of terms in a sequence or series. The formula to find the sum of terms in an arithmetic sequence is as follows:
S = n/2 x (a + l)
where S is the sum of the terms, n is the number of terms, a is the first term, and l is the last term.
Similarly, the formula to find the sum of terms in a geometric sequence is:
S = a(1 – r^n) / (1 – r)
where S is the sum of the terms, a is the first term, r is the common ratio, and n is the number of terms.
The concept of sum is important in many areas of mathematics, including calculus, statistics, and more.
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