The series' value is maximized if the sum only consists of positive terms. Notice that each term in the sum takes the form 4<em>n</em> + 1 for integer <em>n</em>. This means the smallest positive integer that the sum can involve is 1, so the maximum value is
<em>S</em> = 29 + 25 + 21 + … + 9 + 5 + 1
Reversing the order of terms gives the same sum,
<em>S</em> = 1 + 5 + 9 + … + 21 + 25 + 29
Adding terms in the same positions gives us twice this sum,
2<em>S</em> = (29 + 1) + (25 + 5) + (21 + 9) + … + (1 + 29)
Notice how each grouped sum adds to 30. There are 8 terms in the sum, since 4<em>n</em> + 1 = 29 when <em>n</em> = 8. So
2<em>S</em> = 8 × 30 = 240 ===> <em>S</em> = 120
Answer:
C
Step-by-step explanation:
reasonable is 0 through 50.
mathematically the x values go to infinity both ways.
I think the answer is A, correct me if I wrong !
The answer is C, or 28.
You can plug the values into a regression calculator to find the equation. When you do this, you will get the equation y=18.001+0.3ln(x). When you substitue 19 in for y, you get that x is about 28.
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