A geometric progression has first term a and common ratio r. The sum of the first three

Question:

A geometric progression has first term a and common ratio r. The sum of the first three terms is 3.92 and the sum to infinity is 5. Find the value of a and the value of r.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 06:35 AM

See More Questions

A geometric progression has first term a and common ratio r. The sum of the first three terms is 62 and the sum to infinity is 62.5. Find the value of a and the value of r.
A geometric progression has first term 10 and its sum to infinity is 15. a. Find the common ratio. b. Find the sum to infinity if the first term is excluded from the progression.
A geometric progression has first term a, common ratio r and sum to n terms, S n . Show that 2n 2n S.
A ball of mass 0.440 kg moving east( + x direction) with a speed of 3.30m/s collides head-on with a 0.220-kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction...
Use the R&D capitalization table developed in Question 2 to modify NOPLAT and invested capital from Question 1. What is the ROIC on yearend capital by year? How does this compare to the ROIC computed...
Partially completed T-accounts and additional information for Triad Company for the month of May follow: Raw-Material Inventory BB 2,000 8,000 | 6,400 Work-in-Process Inventory BB 4,000 Labor 6,000...
3. Let x Binomial(a, a; 0.5). Using a spreadsheet, evaluate E(ex0.5a2 ), for as ranging from 0.025 to 1, in increments of 0.025.
Refer to the Cox Cable and Wire Company case. In the role of Meredith, design a spreadsheet with which to find a machine schedule and a corresponding inventory and shipment schedule that meets...
Jand, Inc., currently pays a dividend of $1.32, which is expected to grow indefinitely at 4%. If the current value of Jands shares based on the constant-growth dividend discount model is $33.16, what...
1. According to Porter's framework, what generic strategy was Airborne Express pursuing? Was this a sound strategy in the context of the air express industry? 2. What were the strengths of Airborne...
The first two terms, in ascending powers of x, in the expansion of Find the values of n , p and q. (1 + x) ( 2 4 ) are p+qx.
The first four terms, in ascending powers of x, in the expansion of (1 + ax + bx 2 ) 7 are 1 14x + 91x 2 + px 3 . Find the values of a, b and p.
Copper reacts with nitric acid as shown in the balanced chemical equation 3Cu + 8HNO 3 3 Cu(NO) 2 + 2NO + 4 H 2 O If you react 25.0 g of copper with an excess of nitric acid and produce 7.24 g of...
What are the different types of drones?
What are the applications of drones?
What are the various protocols in telecom domain?
What are the various types of routing protocols?
For all the benefits they bring to business, social media and other communication technologies have created a major new challenge: responding to online rumors and attacks on a company's reputation....
Experiment with the Message Segmentation applet at the books Web site. Do the delays in the applet correspond to the delays in the previous problem? How do link propagation delays affect the overall...
Answer the following two independent questions. a. MM Corporation is considering several proposed investments for the coming budget year. MM produces electrical apparatus for industrial complexes....
a. Express 21/(x - 4)(x + 3)in partial fractions. b. Hence obtain the expansion of 24/(X - 4)(X + 3) in ascending powers of x, up to and including the term in x 2 .
a. Expand (2 x) 1 and (1 + 3x) 2 giving the first 3 terms in each expansion. b. Use your answers to part a to find the first 3 terms in the expansion of (2 x) 1 (1 + 3x) 2 , stating the range of...
Expand in ascending powers of x up to and including the term in x 2 , simplifying the coefficients. 1+ 3x (1+2x)
Create a Data Table to depict the future value when you vary the interest rate and the investment amount. Use the following assumptions: Interest Rates: Investment Amounts:-10.0% $10,000.00 -8.0%...
Isaac earns a base salary of $1250 per month and a graduated commission of 0.4% on the first $100,000 of sales, and 0.5% on sales over $100,000. Last month, Isaac's gross salary was $2025. What were...
Calculate the price, including both GST and PST, that an individual will pay for a car sold for $26,995.00 in Manitoba. (Assume GST = 5% and PST = 8%) a$29,154.60 b$30,234.40 c$30,504.35 d$28,334.75...

A geometric progression has first term a and common ratio r. The sum of the first three

Question:

Step by Step Answer:

Lets use the formulas for the sum of the first three terms and the sum to infinity of ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions