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

A _____ _____ is a respresentation used to indicate electron sharing among several atoms.​
Bonjour, j'ai un DM de maths de niveau spé Maths 1ere, j'ai quelques difficultés dans cette matière mais j'ai tout de même tenter de réaliser ce travail, cepend
What is the largest whole number x can be if 8+x is lager than 2x
The scale on a map is 5 cm = 10 km. If two cities are 8 cm apart on the map, how far are they in reality ​
Draw and label a hypothetical plant cell that is specialised to secrete a smelly protein that repel insects. Write a paragraph explaining what you chose to incl
expansion of idea sympathy is not as good as empathy​
In your brand guide, you will also plan how you will take action, in three ways: your first impressions, listening style, and nonverbal communication. in the fi
Can someone help me with this plssss it would help so much! (IM GIVING LOTS OF POINTS!!!!!!!!)
Can someone help me with this plssss it would help so much! (IM GIVING LOTS OF POINTS!!!!!!!!)
find the n term of this number sequence 15 12 9 6