Use inductive reasoning to describe the pattern. then find the next two numbers in the pattern. –3, 9, –27, 81, . . .
2 answers:
Answer:
and 729.
Step-by-step explanation:
We have been given a pattern –3, 9, –27, 81, . . . We are asked to find the next two numbers of our given pattern.
We can see that our given pattern is in form of geometric sequence. We need to find the common ratio of our given sequence by dividing any term of sequence by its previous term.
.
So the next number of our given term would be .
The next number would be .
Therefore, the next two numbers of our given sequence are and 729.
You might be interested in
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean
and standard error
In this problem:
- 1,190 adults were asked, hence
- In fact 62% of all adults favor balancing the budget over cutting taxes, hence
.
The mean and the standard error are given by:
The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:
By the Central Limit Theorem
has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213