If a 1 , a 2 , a 3 , . . . is an arithmetic sequence,

Question:

If a₁, a₂, a₃, . . . is an arithmetic sequence, explain why 2^a1 , 2^a2 , 2^a3 , . . . is a geometric sequence.

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

Step by Step Answer:

Related Book For book-img-for-question

Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

See More Books

Question Posted: Apr 04, 2023 03:16 AM

See More Questions

A circular steel bar ABC (E = 200 GPa) has cross-sectional area A1 from A to B and cross-sectional area A2 from B to C (see figure). The bar is supported rigidly at end A and is subjected to a load P...
If f(x) = n=0,anxn what is the generating function for the sequencer, a0 + a0, a1 + a2, a2 + a3, . . . ? What is the generating function for the sequence a0, a0 + a1, a2 + a2 + a1, a2 + a3 + a3, a2 +...
Consider the following algebraic formulation of a resource-allocation problem with three resources, where the decisions to be made are the levels of three activities (A1, A2, and A3). Maximize Profit...
Case 2: First Year on the Job Joe finally received that job offer in the mail. He worked part-time for First Cirrus Bank during the spring semester and the work experience had paid off. Beginning on...
The direct labor cost case a. Use the explained variation and the unexplained variation as given on the computer output to calculate (within rounding) the F(model) statistic. b. Utilize the F(model)...
Which of the following assigns the number of characters in the strAddress variable to the intNum variable? a. intNum = strAddress.Length b. intNum = strAddress.LengthOf c. intNum = Length(strAddress)...
A spoilage-retarding ingredient is added in brewing beer. To determine the extent to which the taste of the beer is affected by the amount of this ingredient added to each batch, and how such taste...
On August 10, 1978, three teenage girls died horribly in an automobile accident. Driving a 1973 Ford Pinto to their church volleyball practice in Goshen, Indiana, they were struck from behind by a...
What are the key challenges in using advanced absorbents, like metal-organic frameworks (MOFs) or zeolites, in gas-phase absorption processes? Discuss their impact on capacity, selectivity, and...
Find three consecutive numbers in an arithmetic sequence such that their sum is 15 and the sum of their squares is 77.
Find the indicated quantities for the appropriate arithmetic sequence. Derive a formula for S n in terms of n, a 1 , and d.
In the triangle shown below AB = BC = 10 and AC = 12. What is the value of tan? 10 10 12 10 # C
A $0.400-\mathrm{kg}$ object is oscillating on a spring for which the force constant is $300 \mathrm{~N} / \mathrm{m}$. A damping force that is linearly proportional to the object's velocity is...
Classify the space-time interval between each pair of events as timelike, spacelike, or lightlike: (a) A sunspot erupts on the surface of the Sun and is seen on Earth $500 \mathrm{~s}$ later. (b) A...
A $4.0-\mathrm{kg}$ object is suspended from the ceiling by a spring and undergoes simple harmonic motion with an amplitude of $0.50 \mathrm{~m}$. At the highest position in the motion, the...
In a clinical trial of 73 carpal tunnel syndrome patients treated with surgery, 67 had successful treatments (based on data from Splinting vs. Surgery in the Treatment of Carpal Tunnel Syndrome by...
Suppose the current exchange rate is $$1.78/$ the interest rate in the United States is 5.37%, the interest rate in the United Kingdom is 3.92%, and the volatility of the $$/$ exchange rate is...
What is a post-audit, why do firms use them, and what problems can arise when they are used?
Distinguish among total-moisture content, free-moisture content, equilibrium-moisture content, unbound moisture, and bound moisture.
In problem, list the intercepts and test for symmetry. x 2 + y - 9 = 0
Which of the following equations might have the graph shown? (a) (x - 2) 2 + = 3 (b) (x + 2) 2 + y 2 = 3 (c) x 2 + (y - 2) 2 = 3 (d) (x + 2) 2 + y 2 = 4 (e) x 2 + y 2 + 10x + 16 = 0 f) x 2 + y 2 +...
The layout of a Little League playing field is a square, 60 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)?
Your organization has decided to implement an alternative energy solution due to the constant electricity outages that is affecting business effectiveness. Your director has appointed you as the head...
As financial institutions grapple with the imperatives of prudential regulation under the Basel II standardized approach, could you delineate the intricate calculus involved in optimizing...
What is the solution to the following system of equations? 3x + 2y + z = 7 5x+5y+423 3x+2y+32 1

If a 1 , a 2 , a 3 , . . . is an arithmetic sequence,

Question:

Step by Step Answer:

To show that the sequence 2a1 2a2 2a3 is a geometric sequence we need ...View the full answer

Basic Technical Mathematics

Students also viewed these Mathematics questions