Answer:
<h3>See explanations below</h3>
Step-by-step explanation:
1) Given the recursive function An=an-1 + 3 when a1 = 5, we are to find the first four terms;
First term a1 = 5
a2 = a1 +3
a2 = 5 + 3
a2 = 8
a3 = a2 + 3
a3 = 8+3
a3 = 11
a4 = a3 + 3
a4 = 11 + 3
a4 = 14
<em>The first four terms are 5, 8, 11 and 14</em>
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<em>2) </em>For the recursive function An=an-1 + 2/3 when a1 = 1
a2 = a1 + 2/3
a2 = 1 + 2/3
a2 = 5/3
a3 = a2 + 2/3
a3 = 5/3 + 2/3
a3 = 7/3
a4 = a3 + 2/3
a4 = 7/3 + 2/3
a4 = 9/3
a4 = 3
<em>Hence the first four terms of the sequence are 2/3, 5/3, 7/3, 3</em>
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3) For the recursive function An=an-1 + 12 when a1=30
a2 = a1 + 12
a2 = 30 + 12
a2 = 42
a3 = a2 +12
a3 = 42 + 12
a3 = 54
a4 = a3 + 12
a4 = 54+12
a4 = 66
<em>Hence the first four terms of the sequence are 30, 42, 54, 66</em>
29/6 would be your answer
-4 straight down and 4 going to your right
"45 years or over" includes all of the age groups "45-64", "65-74", and "75 or over". These age groups are disjoint (no individual can belong to more than one group), so the probability of picking someone that's at least of 45 years of age is the sum of the probabilities that a person belongs to any one of these groups. That would be
If Molly ate 1/3 of the bag of chips on Friday, that means that there is 2/3 of the bag left.
Then, she eats 1/2 of what is left in the bag (2/3). (We multiply these fractions to find the answer.)
1/2 * 2/3 = 1/3.
<span>Therefore, Molly at 1/3 of the entire bag on Saturday. </span>