The next two terms in the arithmetic progression will be 15 and 21.
Based on the information given, the following can be deduced.
First term = 3
Second term = 9
Common difference = 9 - 3 = 6
The nth term of an arithmetic progression is given as: = a + (n-1)d
Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15
4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21
The next 2 terms are 15 and 21.
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An irrational number.
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This took me a long time to analyze and answer. This answer is very intelectiual and scholarly. Here are the answers.
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Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
<h3>Variation</h3>
y = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
y = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
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common difference, d = -3
f1 = -13
An arithmetic sequence f(n) = f1 + d(n - 1)
so f(n) = -13 - 3(n - 1)
f(46) = -13 - 3(46-1) = -13 -3(45) = -13 - 135 = -148
Answer:
f(46) = - 148
