Prove that 3+3 5+3 52+ + 3 5n = 3(5n +

Question:

Prove that 3+3 · 5+3 · 52+ · · · + 3 · 5n = 3(5n + 1 − 1) / 4 whenever n is a nonnegative integer.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 02, 2016 12:28 PM

See More Questions

Prove that a) b) c) d) e) L{1}(s) =-, s>0 Lie" }(s) =-a, , S a, a E R Cicos(b))>0, beR L{sin(bt))(s) s > 0, b E R s2+b2.
Prove that 1 + 3 + 5 + . . . + (2n 1) = n2.
Prove that the likelihood ratio test for hypotheses (9.5.3) is to reject H0 if U c, where U is defined in Eq. (8.5.1).
Solve the triangles with the given parts. a = 7.86, b = 2.45, C = 2.5
Compare and contrast the Gantt chart and the PERT chart.
Determine Vo1, Vo2, and I for the network of Fig. 2.157. 0.47 k 20V S
The probability that a construction company will get the tender for constructing a flyover is 0.33, the probability that it will get the tender for constructing an underpass is 0.28, and the...
Calculate the following ratios for Lake of Egypt Marina, Inc. as of year-end 2018? Use the following financial statements for Lake of Egypt Marina, Inc. Calculate the following ratios for Lake of...
A 0.55 kg block of ice is sliding by you on a very slippery floor at 3.5 m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with the ice block for 0.0035...
Joni Wu manages the GoldRush Casino in New Orleans. She would like to adjust the assortment of gaming machines in the casino to ensure they are operating in the most profitable manner. The following...
Show that if A1, A2, . . . , An are sets where n 2, and for all pairs of integers i and j with 1 i < j n either Ai is a subset of Aj or Aj is a subset of Ai, then there is an integer i, 1 i n...
Let n be an even positive integer. Show that when n people stand in a yard at mutually distinct distances and each person throws a pie at their nearest neighbor, it is possible that everyone is hit...
Could I Company, in the previous question, be charged with violating American anti-trust laws? Discuss. Previous question I Company is a large American manufacturer of computers. It controls...
Write a data type Interval that implements the following API: An interval is defined to be the set of all points on the line greater than or equal to min and less than or equal to max. In particular,...
Longest common subsequence of three strings. Given three strings, write a program that computes the longest common subsequence of the three strings.
Create a data type Location that represents a location on Earth using latitudes and longitudes. Include a method distanceTo() that computes distances using the great-circle distance.
What happens in a universe in which there is no gravitational force? This situation would correspond to forceTo () in Body always returning the zero vector.
Mandelbrot asked the famous question How long is the coast of Britain? Modify Brownian to get a program BrownianIsland that plots Brownian islands, whose coastlines resemble that of Great Britain....
Toome Ltd is a manufacturer of mechanical toys for boys. You have been provided with a schedule of key performance ratios for the company for the period 20X5 to 20X9 as follows: Required Using the...
Consider model (9.18). What is the effect on the model parameter estimates, their standard errors, and the goodness-of-fit statistics when (a) The times at risk are doubled, but the numbers of deaths...
The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75 < x < 50.25 pounds. (a) Determine the probability that a package weighs more than...
The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for 74.6 < x < 75.4 millimeters. Determine the following: (a) P(X < 74.8) (b) P(X < 74.8 or X > 75.2) (c)...
The probability density function of the length of a metal rod is f(x) =2 for 2.3 < x < 2.8 meters. (a) If the specifications for this process are from 2.25 to 2.75 meters, what proportion of the bars...
Find all the complex numbers z such that z += 0. Is the set open or closed? {zC: z*+i=0}
For each of the following matrices A Maxn (R), test A for diagonal- izability, and if A is diagonalizable, find an invertible matrix Q and a diagonal matrix D such that Q-1AQ = D. (a) (63) 2 1 3 (b)...
A summary of two stocks is shown. 52W high 52W low Name of Stock Symbol High Low Close 37.18 29.39 Zycodec ZYO 11.76 7.89 Unix Co UNX 39.06 32.73 34.95 16.12 12.11 15.78 Last year, a stockholder...

Prove that 3+3 5+3 52+ + 3 5n = 3(5n +

Question:

Step by Step Answer:

Let Pn be the proposition 3 3 5 3 52 3 5n 35 nl 14 To prove that this is true for all nonnegative ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions