Classify the sequence {a_n}={4,10/3,8/3,2...} as arithmetic or geometric. Then, determine whether the sequence is convergent or
2 answers:
Answer:
Arithmetic and divergent sequence.
Step-by-step explanation:
We have been given a sequence:
Arithmetic sequence: It is the sequence in which the difference (known as common difference) between consecutive terms is same
Formula for difference:
Geometric sequence: It is the sequence in which the ratio (known as common ration) between consecutive terms is same.
Formula for ratio:
Here, we will first check the common difference
Hence, we are getting common difference therefore it is an arithmetic sequence.
Arithmetic sequence always diverges
And given sequence being arithmetic will diverge.
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Answer:
0.01083 or 1.083%
Step-by-step explanation:
This problem can be modeled as a binomial probability model with probability of success p = 0.56.
The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:
The probability is 0.01083 or 1.083%.
Answer:
Porter is inches taller than Henry.
Porter is times taller than henry.
Step-by-step explanation:
The difference in height can be found using subtraction.
Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.
n = Porter's height
m = Henry's height
Difference in height is thus:
Answer: Porter is inches taller than Henry.
To find out how many times taller Porter is than Henry, we can use division.
An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.
If we divide Porter's height by Henry's height...
..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.
Using our values, n and m, we'll divide n by m.
Answer: Porter is times taller than henry.