Please hurry, Find the sum of the first 10 terms in the series:
2 answers:
Answer:
Step-by-step explanation:
-3, 9, -27, 81...
The common ratio can be found by taking the quotient of a term in the sequence and the previous term.
The common ratio is -3.
A term in the sequence multiplies itself by -3 to get the next term.
The nth term for the sequence is :
The first 10 terms of the sequence are :
-3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049
Adding these 10 terms :
-3 + 9 + -27 + 81 + -243 + 729 + -2187 + 6561 + -19683 + 59049
⇒ 44286
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Answer:
There is not enough evidence to support the claim that union membership increased.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 12.5% = 0.125
Alpha, α = 0.05
Number of women belonging to union , x = 52
First, we design the null and the alternate hypothesis
The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.3812
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 union membership increased.