Question: Prove the statement. (1 + a) n 1 + na, for a > 0

Prove the statement. 

(1 + a)n ≥ 1 + na, for a > 0

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

In1 1a 1a11a II Assume that there is an inte... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Prove the statement. a + b is factor of a 2n+1 + b 2n+1 .

Q:

Prove the statement. If x > 1, then x n > 1.

Q:

Prove the statement. If 0

Q:

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Q:

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Q:

\f3. Use any method to prove the statement. 1) For eyery integer n, if n2 is odd. then n is odd. 3. Write what you would suppose and what you would need to show to prove this statement by...

Q:

explicate the operation and gate level circuit of a multiplexer. How may it be used in conjunction with a demultiplexer to establish alternative connections across a unidirectional path between two...

Q:

5. We denote fn as the n-th Fibonacci number. (a) Prove the following statement by induction: For n > 1, 12 22 + 32 42 + ... +(-1)n-1m2 = (1)n-1 n(n+1) 2 (b) Prove by induction that for each integer...

Q:

Question 1 (Fibonacci Numbers, 10 points). Suppose that we have a sequence Fn defined by Fi = F= 1 and for n 3 we have that Fn = Fn-1 + Fn-2 Consider the following purported proof that Fn =O (1) by...

Q:

Hi, could you please help me with this question about finding nash equilibria? Thank you! 5. The set of players is N. Each player i chooses an action a; E {0, 1}. Let N(a; 1) C N (resp., N(a; 0) CN)...

Q:

Cranes Market recorded the following events involving a recent purchase of merchandise: Received goods for $50000, terms 1/10, n/30. Returned $1000 of the shipment for credit. Paid $200 freight on...

Q:

Round weights to tenths. Round dosages to hundredths. Round IV flow rates to the nearest whole number. (The drug volume is considered to be part of the total dilution volume. The flush is not...

Q:

commercial paper has a maximum maturity of how many days?

Q:

Two websites that are important for radio advertising are the Radio Advertising Bureau (www.rab.com) and the top 100 radio sites (www.100topradiosites .com). Access both sites. What information is...

Q:

In Problems 7 50, follow Steps 1 through 7 shown below to graph each function. Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain of the...

Q:

In Problems 7 50, follow Steps 1 through 7 shown below to graph each function. Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain of the...

Q:

In Problems 2132, determine the maximum number of real zeros that each polynomial function may have. Then use Descartes Rule of Signs to determine how many positive and how many negative real zeros...

Q:

What cultural and ethical considerations must be considered in order to reduce software piracy in a country? Give me also the sources of the information

Q:

Professor Yale Beats Harvard makes the following claim: \"If I had i.i.d. draws from the standard Cauchy distribution, then as n grows large, the sample mean tends to be asymptotically normal." ls...

Q:

Please answer the attachment below This table shows a barangay's record of registered voters: (15 pts) Age Group Population Percentage Sample (in years) 15-25 350 26-36 365 37-47 240 48-58 205 59 and...