SOLUTION: Please help me solve this problem. What is the 80th term in the following pattern, where the first term is 0, and terms are found by adding consecutive odd number to previous term

Algebra ->  Sequences-and-series -> SOLUTION: Please help me solve this problem. What is the 80th term in the following pattern, where the first term is 0, and terms are found by adding consecutive odd number to previous term      Log On


   

Question 830198: Please help me solve this problem. What is the 80th term in the following pattern, where the first term is 0, and terms are found by adding consecutive odd number to previous terms?

0, 3, 8, 15, 24, 35, 48, 63,...
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
0, 3, 8, 15, 24, 35, 48, 63,...

 0 =  1-1 = 1²-1
 3 =  4-1 = 2²-1
 8 =  9-1 = 3²-1
15 = 16-1 = 4²-1
24 = 25-1 = 5²-1
35 = 36-1 = 6²-1
48 - 49-1 = 7²-1
63 = 64-1 = 8²-1

Look at that list on the right

Any term is that term's number minus one.

the 4th term is 4 squared minus 1

the 7th term is 7 squared minus 1 

So the 80th term is 80 squared minus 1 or 6400-1 = 6399.

Edwin