Question

Write each of 59-61 as a single summation or product.

a) Σ(i=59 to 61) i
b) 59 * 60 * 61
c) Π(i=59 to 61) i
d) Σ(i=59 to 61) i^2

Answer 1

To write each of the numbers 59-61 as a single summation or product, we sum or multiply the numbers in the specified range. For example, Σ(i=59 to 61) i is the sum of the numbers, which is 180, while Π(i=59 to 61) i represents their product, which is 216,540.

Step-by-step explanation:

The student has asked to express the numbers 59-61 in different mathematical notations. Specifically, this involves using summation and product notations. Here are the expressions for each of the parts of the question:

• a) Σ(i=59 to 61) i: This is a summation, which means we'll add up the numbers from 59 to 61. The calculation is 59 + 60 + 61, which equals 180.
• b) 59 * 60 * 61: This is a product, requiring us to multiply the numbers from 59 to 61. The result of this multiplication is 216,540.
• c) Π(i=59 to 61) i: This symbol represents a product over a range just like in part b), and therefore it is also 59 * 60 * 61, which equals 216,540.
• d) Σ(i=59 to 61) i^2: This is a summation where each term is squared before being added. So we calculate 59^2 + 60^2 + 61^2, which is 3,481 + 3,600 + 3,721, and their sum equals 10,802.