Mathematics, 22.04.2020 01:24 nicollexo21
Proof: let LaTeX: P\left(n\right)=\sum_{k=1}^n\frac{1 }{k(k+1)}=1-\frac{1}{n+1}.P ( n ) = β k = 1 n 1 k ( k + 1 ) = 1 β 1 n + 1 . Base case: P(1) = 1/2. Inductive step: suppose P(n) has already been proven for some arbitrary n. The statement P(n+1) is LaTeX: P\left(n+1\right)=\sum_{k=1}^{n+1}\ frac{1}{k\left(k+1\right)}=1-\frac{ 1}{n+2}P ( n + 1 ) = β k = 1 n + 1 1 k ( k + 1 ) = 1 β 1 n + 2 This concludes the proof by induction.
Answers: 3
Mathematics, 21.06.2019 19:00
Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.
Answers: 1
Mathematics, 21.06.2019 22:10
Which property was used to simplify the expression? 3c+9 +4c=3c+4c+9
Answers: 3
Mathematics, 22.06.2019 00:50
Arectangle has a perimeter of 24 inches. if the width is 5 more than twice the length, what are the dimensions of the rectangle?
Answers: 3
Proof: let LaTeX: P\left(n\right)=\sum_{k=1}^n\frac{1 }{k(k+1)}=1-\frac{1}{n+1}.P ( n ) = β k = 1 n...
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