What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms?
1 answer:
Since the sequence is arithmetic, we have an expression of the form:
Where,
a1: first term of the sequence
d: common difference
n: number of terms
We look for the common difference:
Then, setting values we have:
Then, the sum of the terms is:
Substituting values:
Answer:
the sum of the arithmetic sequence 8, 15, 22 is:
Sn = 2483
Where,
a1: first term of the sequence
d: common difference
n: number of terms
We look for the common difference:
Then, setting values we have:
Then, the sum of the terms is:
Substituting values:
Answer:
the sum of the arithmetic sequence 8, 15, 22 is:
Sn = 2483
You might be interested in
Answer:
There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1432
p = 23% = 0.23
Alpha, α = 0.05
Number of theft complaints , x = 321
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.298
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.