Answer: the answer is 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.
Step-by-step explanation:
<h3>
Answer: 1/3</h3>
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Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
Answer: 5) r = 5, 8th term = -78,125
6) r = 5, 8th term = -312,500
7) r = 5, {1, 5, 25, 125, 625}
8) r = 5, {-4, -20, -100, -500, -2500}
<u>Step-by-step explanation:</u>
The explicit formula of a geometric sequence is: 
, where;
- n is the number of the term
- a₁ is the first term
- r is the common ratio
