Which of the following sequences are convergent? Select all that apply
2 answers:
Answer:
A geometric sequence with and
are convergent.
Step-by-step explanation:
Given the sequences AP and GP i.e arithmetic and geometric sequence. we have to tell the convergence of these series.
we know that the arithmetic series can never be convergent
and for Geometric series, if the common ratio r lies between |0| and |1| then the terms of GP series become smaller and smaller, approaching to → 0 in the limit and the series converges.
Hence, from the given sequence
a geometric sequence with and
are convergent.
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Answer: 1)
2) 55 points
Step-by-step explanation:
1) A= 8w + 18, w=1.25
A = 8(1.25) + 18
A = 10 + 18
A = 28ft^2
2) 25 points to start with, additional 5 points per magazine they sell, m = number of magazines they sell
total points = 25 + 5m
How many if they sell 6?
total = 25 + 5(6)
= 25 + 30
total = 55
The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.
<h3>What is a sample proportion?</h3>A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
Where:
- x represent the number of individuals with a specified characteristic.
- n represent the total number of individuals in a sample.
In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:
Standard deviation (SD) = √(p(1 - p)/n)
Substituting the given parameters into the formula, we have;
Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)
Standard deviation (SD) = √(0.37(0.63)/1,600)
Standard deviation (SD) = √(0.2331)/1,600)
Standard deviation (SD) = √0.0001457
Standard deviation (SD) = 0.0121.
Read more on standard deviation here: brainly.com/question/14467769
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