Trent508
Trent508 Trent508
  • 02-09-2014
  • Mathematics
contestada

The 10th and the 20th term of an arithmetic sequence are 10 and 40, respectively. Find its 100th term.

Respuesta :

crisforp
crisforp crisforp
  • 02-09-2014
a 10 = 10;
a 20 = 40;
a n = a 1 + ( n - 1) * r => 10 = a 1 + 9 * r, and, 40 = a 1 + 19 * r => 30 = 10 * r => r = 3 => a 1 = 10 - 27 => a 1 = -17;
a 100 = a 1 + 99 * r => a 100 = - 17 + 99 * 3 => a 100 = -17 + 297 => a 100 = 280.
Answer Link

Otras preguntas

What is the prime factorization of 740?
Which of the following was NOT a nonviolent protest campaign of Gandhi's? A. noncooperation movement B. the Salt March C. the Round Table Conference D. Quit
In a blended family, roles and expectations can be unclear. this is called __________.
One canned juice drink is 25​%orange​ juice; another is 10​%orange juice. how many liters of each should be mixed together in order to get 15lthat is 21​%orange
What problems can an algal bloom cause in an ocean?
Simplify. —7.5 × (2 — 1.9) + 3 Enter your answer in the box
Why is it important for health care workers to wear personal protective equipment?
Adding an organism to a food chain does not affect the other members of the food chain, but removing an organism does. Please select the best answer from the ch
What is the surface area of a rectangular prism with sides: 5, 8 and 3
Compare and contrast okonkwo and creon