Answer:
3( n + )² -
= 0
Step-by-step explanation:
3n² = 6 - 17n ⇔ 3n² + 17n - 6 = 0
3( n² + 2 × n + (
)² - (
)² - 2 ) = 0
3( n + )² - 3 ×
- 6 = 0
3( n + )² -
= 0
In the arithmetic sequence {-9, -4, 1, 6, 11,…} what is the common difference? Enter your answer as a number
1 answer:
- - - -- - - - - - - - -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - -- - - - - - - -
What is the common difference in the sequence -9, -4, 1, 6, 11,...?
The common difference is a number you add or subtract in order to get to the next term; in this case, we add.
The common difference of this arithmetic sequence is 5.
So in order to get to the next term, we add 5.
-9+5=-4
-4+5=1
1+5=6
6+5=11, etc.,
<h3>Henceforth the common difference of this sequence is 5.</h3><h3>Good luck.</h3>- - - - - - - - - - - - - - - - - - -- - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - -
You might be interested in
Answer:
Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Step-by-step explanation:
To yield a more accurate estimate of the population mean, margin of error should be minimized.
margin of error (ME) of the mean can be calculated using the formula
ME= where
- z is the corresponding statistic in the given confidence level(z-score or t-score)
- s is the standard deviation of the sample (or of the population if it is known)
- N is the sample size
for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.
Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.
Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.