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.
Answer:
$38.40
Step-by-step explanation:
20% of $48 is 9.60
48- 9.60= 38.40
The possible solutions using the Sine Law are given as follows:
Triangle A:
B = 50.26°
C = 79.74°
Triangle B:
B = 62.79°
C = 70.21°
<h3>What is the sine Rule?</h3>
The sine law asserts that the ratio of a triangle's side length to the sine of the opposing angle is the same for all three sides. The sine rule is another name for it.
<h3>What is the explanation for the above solution?</h3>
Triangle A
Given the sine law:
a/SinA = b/SinB
Hence
Sin B = (b/a) SinA
Sin B = 15/10 (Sin 50)
Sn B = (15/10) * 0.766
Sin B = 1.5 * 0.766
B = Sin⁻1 (1.14)
B = 50.26°
Hence, C =
180 - B - A
= 180 - 50.26 - 50
C = 79.74°
Solution B
Given the sine law:
a/SinA = b/SinB
Hence
Sin B = (b/a) SinA
Sin B = 2/1.6 (Sin 47)
Sn B = 1.25 * 0.73
Sin B = 0.9125
B = Sin⁻1 (0.9125)
B = 62.79°
Hence,
C = 180 - 62.79 - 47
C = 70.21°
Learn more about the Sine Law at;
brainly.com/question/12271113
#SPJ1
put y=0 & find x. call it x1.
put x=0 & find y. call it y1.
define the points (x1, 0) & (0, y1) on a cartesian plane. connect the points with a line to find the interception.
Answer:
Step-by-step explanation:
P = 2(L + W)
P = 950 feet
L = 3W - 65
W = W
950 = 2 * (L + W) Divide by 2
950/2 = 2*(L + W)/2
475 = L + W
475 = 3W - 65 + W Add 65 both sides. Combine W on the right.
475 + 65 = 4W + 65 - 65
540 = 4W Divide by 4
540/4 = 4W/4
135 = W
=========================
W = 135
L = 3*135 - 65 = 340
