The first three terms of an arithmetic sequence, a, a + d and a + 2d, are
Question:
The first three terms of an arithmetic sequence, a, a + d and a + 2d, are the same as the first three terms, a, ar, ar², of a geometric sequence (a ≠ 0). Show that this is only possible if r = 1 and d = 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
If the first three terms of an arithmetic sequence a a d and a 2d are the same as the first thre...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
Question Posted:
Students also viewed these Sciences questions
-
Show that this is a basis for R4. (We can use the results of this subsection to simplify this job.) 0000
-
The first three terms of a geometric sequence are 100, 70 and 49. a. Write down the common ratio of the sequence. b. Which is the position of the first term in the sequence that has a value less than...
-
The first three terms of an infinite geometric progression are 0.8, 0.08 and 0.008. a. Write down the common ratio for this progression. b. Find, as a fraction, the sum to infinity of the terms of...
-
A 1.0-kg trash-cal lid is suspended against gravity by tennis balls thrown vertically upward at it. How many tennis balls per second must rebound from the lid elastically, assuming they have a mass...
-
An aqueous solution contains 4.00% NH3 (ammonia) by mass. The density of the aqueous ammonia is 0.979 g/mL. What is the molarity of NH3 in the solution?
-
Sales of vegetable dehydrators at Bud Baniss discount department store in St. Louis over the past year are shown below. Management prepared a forecast using a combination of exponential smoothing and...
-
An article in the Wall Street Journal on the Indian economy noted that an estimated 263 million Indians55 percent of the countrys workforceeke out a living from farms. This makes any attempt at...
-
1. Gina receives a $2,000 distribution from her educational savings account. She uses $1,600 to pay for qualified higher education expenses and $400 on a vacation. Immediately prior to the...
-
(a) A Ltd. has issued convertible bonds, which carries a coupon rate of 14%. Each bond is convertible into 20 equity shares of the company A Ltd. The prevailing interest rate for similar credit...
-
An 8 simple curve connecting two tangent that intersect at an angle of 88 is to be replaced by a symmetrical three centered compound curve at the center having 6 end curves and a 10 curve at the...
-
a, b and c are three consecutive terms in a sequence. a. Prove that if the sequence is an arithmetic progression then a + c = 2b. b. Prove that if the sequence is a geometric progression then ac = b.
-
Following knee surgery, Adankwo has to do squats as part of her physiotherapy programme. Each day she must do 4 more squats than the day before. On the eighth day she did 31 squats. Calculate how...
-
What are the eight tests for validating input data?
-
Only two adjustments appear in the "Adjustments" column of a worksheet for Winona Manufacturing Company: one to record $7,000 depreciation of factory equipment and the second to record the use of...
-
what ways does critical feminist theory inform our understanding of power dynamics and agency within gendered contexts, and how can this framework be applied to promote women's empowerment on a...
-
How do influential leaders cultivate their own personal brand and thought leadership, strategically positioning themselves as visionary thinkers, agents of change, and trusted guides in the pursuit...
-
How can influential leaders harness the power of social media platforms, digital technologies, and online communities to extend their reach, cultivate thought leadership, and shape discourse in the...
-
How do narrative structures and storytelling techniques contribute to the construction of collective memory and cultural identity, and how can these insights be leveraged to foster empathy and social...
-
Let u1 and u2 form an orthonormal basis for R2 and let u be a unit vector in R2. If uTu1 = 1/2, determine the value of |uTu2|.
-
Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the key on your calculator and round answers to the...
-
A geometric progression has first term a, common ratio r and sum to n terms, S n . Show that 2n 2n S.
-
A circle is divided into twelve sectors. The sizes of the angles of the sectors are in arithmetic progression. The angle of the largest sector is 6.5 times the angle of the smallest sector. Find the...
-
Given that y = x + 1/x, express a. x 3 + a/x 3 in terms of y b. x 5 + a/x 5 in terms of y.
-
Professional email Kindly find attached the Consumer direct cost split at group level for your reference. Upon analysis, we have noted an increase in direct cost leading to a decline in the "gross...
-
Should Financial Institutions Engage in Interest Rate Swaps for Speculative Purposes?
-
Forever Old Thrift Shop is considering renovating the entire store shopping area to attract more customers. The cost of the renovation is $10,000. The net cash flows resulting from the investment are...
Study smarter with the SolutionInn App