![cesargonzaleztovar60](/avatars/17385.jpg)
cesargonzaleztovar60
05.07.2020 •
Mathematics
5. In an A.P, the sum of three consecutive terms is 24. When 1 is subtracted to the first term, 2 to the second, then the terms form a G.P. Find the terms of the A.P.
Solved
Show answers
More tips
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- S Sport How to Do a Jumping Split...
- H Health and Medicine How Did Inna Lose Weight on Dom 2?...
- F Family and Home How to Properly Fold Napkins in a Napkin Holder?...
- F Food and Cooking How to Set Up Ventrilo - The Ultimate Guide...
- S Science and Technology How to Make a Homemade Smoker: The Ultimate Guide...
- A Auto and Moto Battle for the Relocation of The Cherkizovsky Market: Who Won?...
- C Computers and Internet How Do You Refill Cartridges?...
Answers on questions: Mathematics
- M Mathematics Pzz hellppp asap Write an explicit geometric sequence to model the situation given below. Then explain how the sequence could be used to answer the question. Do not actually answer...
- M Mathematics Question: 1239052 QUESTION: 2 OF 50 A manufacturing plant produces 2-inch nails with a tolerance of +0.1 inches. A sample of five nails has these measurements: 2.05 inches, 1.97 inches,...
- M Mathematics Find the sample size required to estimate the percentage of college students who take a statistics course. Assume that we want 95% confidence that the proportion from the sample is...
- M Mathematics Graph the line with slope of 4/3 and goes through the point (1,3)....
- B Business The management of Salem Corporation is considering the purchase of equipment costing $109,000, which has an estimated life of 3 years and no salvage value. The net after tax cash...
- E English Question 17 of 24 a hiker gets caught in a snow storm and must find shelter and build a fire to keep warm. what type of conflict is this? a. character vs. nature b. character vs....
- M Mathematics Coach kent brings 3 quarts of sport drink to coccer practice he gives the same amount to each of his 16 players how many ouncesof the drink does each player get...
Ответ:
Step-by-step explanation:
Let the three numbers be a-d, a, a+d being a series in AP.
The sum of the three numbers is 24 = a-d+ a+ a+d = 3a
Thus a = 8.
Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or
(a-d-1)(a+d) = (a-2)^2 or
(8-d-1)(8+d) = (8-2)^2, or
(7-d)(8+d) = 36, or
56 -8d +7d -d^2 = 36, or
56 -8d +7d -d^2 - 36 = 0, or
d^2 +d -20 = 0
(d+5)(d-4) = 0
Thus d = -5 or 4
So the AP is 13,8,3 or 4,8,12
Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)
4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2
Ответ: