(a) what is the difference between a sequence and a series? a sequence is an ordered list of numbers whereas a series is an unordered 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 unordered list of numbers whereas a series is the sum of a list of numbers. 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. (b) what is a convergent series? what is a divergent series? a series is divergent if the sequence of partial sums is a convergent sequence. a series is convergent if it is not divergent. 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 sequence of partial sums is a convergent sequence. a series is divergent if it is not convergent. 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) 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.  

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

i will pick c put check it over to be sure

step-by-step explanation: