Answer:
- (a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
- (b) A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Step-by-step explanation:
A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. In contrast, a series is the sum of the numbers in a sequence. For this multiple choice, choose the best answer that defines what a sequence is.
(a) What is the difference between a sequence and a series?
- A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers.
- A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
- A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers.
- A sequence is an ordered list of numbers whereas a series is an unordered list of numbers.
- A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers.
When working with sequences and series, we look at what happens at negative and positive infinity. When a series converges, it approaches a finite number. When a series diverges, it does not approach a finite number but infinity.
(b) What is a convergent series? What is a divergent series?
- A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent.
- A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent.
- A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent.
- A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
- A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
hope it helps you!!!!!!!!!!
First let's just combine the shelves to make it easier. 99 + 99 = 198.
We can simply divide 198 by 11/16 to get the answer. First let's convert 11/16 to a decimal.
11 divided by 16 is 0.6875
So 198 divided by 0.6875 is 288.
288 novels can fit on both the shelves.
<em>#</em><em>CARRYONLEARNING</em><em> </em>
<em>.</em><em>.</em><em>LOVEUALL</em><em>.</em><em>.</em><em>.</em>
Let x denote the length of the longer first piece and y the length of the shorter piece.
We have x+y=10 and x=3y-2 hence 3y-2+y=10 => 4y=12 => y=3 => x=7
The shorter piece is 3 feet long
