Question

In two or more complete sentences, describe the difference between an infinite series and a finite series. Part 2.] In two or more complete sentences, explain why the following sequence is an example of a finite series. 2 + 4 + 8 + 16 + ... 256 Part 3.] In two or more complete sentences describe why the following series is an example of an infinite series. 1 + 2 + 3 + 4 + 5 + ... Part 4.] The first picture Part 5.] Express the series in summation notation. 2 + 4 + 6 + 8 + 10 + 12 Part 6.] Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $____ Part 7.] Find the sum picture

Answer 1

An infinite series contains an infinite amount if values within a set S({}. A finite series contains a certain am0unt of values (for example, the numbers from 1 to 10)

The first one is a finite set since it has a known amount of values. This can be seen as a tangible set. The second set has an unknown end. This makes it intangible.

Answer 2

1. An infinite sequence of numbers is an ordered list of numbers with an infinite number of numbers.

An infinite series can be thought of as the sum of an infinite sequence.

2. S = 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256
S is the sum of 8 terms.
8 is a finite number
therefore
the sequence is an example of a finite series.