Trent508 Trent508

02-09-2014
Mathematics

Answered

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

Answer :

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

Other Questions

simplify 141612x

emily is entering a bicycle race for charityher mother pledges 040 for every 025 mile she bikesif emily bikes 15 mileshow much will her mother donate

what is the answer to 2m123m31

Hans Selye Called The Bodys Response To Stress A Stressor B Delusions C Phobia D General Adaptation Syndrome

What three elements make up most of the earths crust

Three workers arrive at work 15 minutes late at a cost of 11hour how will it cost company

Why is it easy to walk along a school corridor without bumping into the walls but it would seem really tricky walking along a cliff ledgewhich was the same whic

What important victory did one founder of the Carolingians achieve AHe convinced all Europeans to convert to Christianity BHe won the title of first warrior kin

When exercising in cold weather all of the following are good safety precautions except dress in layers to trap body heat skip sunscreen on sunny days to let th

evaluate the following expression a 110 b 112 112 c are the answers to part a and b the same explain why or why not please help