SOLUTION: complete the sequence -20;-18;-14;-8 formula for the problem

Algebra.Com
Question 948455: complete the sequence -20;-18;-14;-8
formula for the problem

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
-20;-18;-14;-8
Start with -20
-20 +  2 = -18
-18 +  4 = -14
-14 +  6 =  -8
 -8 +  8 =   0
  0 + 10 =  10
 10 + 12 =  22
 22 + 14 =  36
 36 + 16 =  52

To find the general term:

Assume a quadratic general term:



Substitute 
 
 
 

Solve the resulting system of 3 equations in 3 unknowns
A,B, and C:

The resulting general term when factored is 



Edwin

RELATED QUESTIONS

What is the sequence formula for 20, 4, 8,... (answered by Edwin McCravy)
write a formula for the general (nth term) of the following arithmetic sequence. then use (answered by Mathtut)
complete sequence -1;-1/8;-1/27 Formula for the equation. (answered by macston)
what is the formula for this sequence 0, 2, 5, 9, 14, 20... (answered by mathstutor458)
i would like to know how to solve THE FORMULA FOR THE NTH TERM OF THE ARITHMETIC... (answered by ikleyn)
Generate the general formula for the following sequence. 8, 13, 18, 23, 28,... (answered by Fombitz)
find the common difference for the arithmetic sequence 8, 13, 18, 23, ... a. 15 b. 5 (answered by richwmiller)
Write a recursive formula for the sequence 8, 10, 12, 14, 16... Then find the next... (answered by jim_thompson5910)
make a reasonable co0njecture for the next number oe item in the sequence of 10 20 11 18... (answered by solver91311)