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

Epic machinery only appears to epics from Western traditions that consciously imitate Homer. True or False?
What do ralph and jack feel as they look at each other in the pool?
What is the purpose of letter spacing and word spacing?
A ___ has some kind of unity in terms of terrain, climate, government, language and so on
Who were the greenbackers?
I don't know how to do this someone help !
What is a recursive formula for this geometric sequence ?
Plzzz help me I’m bad with box and whisker plots
a piece of wire is 25 ft long and cut into pieces of different lengths all pieces that either 3 4 or 5 ft long if you cut two pieces of 5 how many pieces of 3 a
the concert promoters already sell all the tickets to the shows . helppp!