Answer:
The given sequence 6, 7, 13, 20, ... is a recursive sequence
Step-by-step explanation:
As the given sequence is

- It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.
As
, 
As d is not same. Hence, it cannot be an arithmetic sequence.
- It also cannot be a geometrical sequence and exponential sequence.
It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.
As
,
, 
As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.
So, if we carefully observe, we can determine that:
- The given sequence 6, 7, 13, 20, ... is a recursive sequence.
Please have a close look that each term is being created by adding the preceding two terms.
For example, the sequence is generated by starting from 1.

and

for n > 1.
<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>
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I think they should say they last name
Answer: 
Step-by-step explanation:
Given : An equation relating packets to bytes of information :
where<em> p</em> represents the number of packets and <em>b</em> represents the number of bytes of information.
1 byte = 8 bits
Let x= Number of bits such that 1 b = 8x
Put b = 8x in given equation , we get

Divide both sides by 8 , we get

Hence, the equation represent the relationship between the number of packets and the number of bits : 
Answer:
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Step-by-step explanation:
Let
x-----> the cost of the ice cream cone
y----> the cost of the ice cream basket
z---> the cost of the donut
we know that
2x+y=12.75 ------> y=12.75-2x ------> equation A
x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B
x+y+z=9.75 ----> equation C
substitute equation A and equation B in equation C and solve for x
x+(12.75-2x)+((7.50-x)/2)=9.75
Multiply by 2 both sides
2x+25.50-4x+7.50-x=19.50
3x=25.50+7.5-19.50
3x=13.5
x=$4.50
Find the value of y
y=12.75-2(4.50)=$3.75
Find the value of z
z=(7.50-4.50)/2=$1.50
therefore
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Given expression :
.
We need to apply power property of logs to rewrite it.
According to log rule of exponents:

If we compare given expression with the rule the exponent part is f, base is 6.
Therefore, we need to bring exponent f in front of log.
Therefore,
.
<h3>And correct option is second option

</h3>