Topic summary
Product Of A Sequence

Extracted from the Wikipedia article Multiplication.
Arithmetical operationFour bags with three marbles per bag gives twelve marbles (4 × 3 = 12).Multiplication can also be thought of as scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result.Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product. Multiplication is often denoted by the cross symbol, ×, by the mid-line dot operator, ⋅, by juxtaposition, or, in programming languages, by an asterisk, *. The multiplication of whole numbers may be thought of as repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier. Both numbers can be referred to as factors. This is to be distinguished from terms, which are added. a×b=b+⋯+b⏟a times.{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ times}}}.}Whether the first factor is the multiplier or the multiplicand may be ambiguous or depend upon context. For example, the expression 3×4{\displaystyle 3\times 4} can be phrased as "