SOLUTION: what is the nth term of the sequence 0,6,14,24,36,50,...
Algebra.Com
Question 1187173: what is the nth term of the sequence 0,6,14,24,36,50,...
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
,,,,,,.......
find differences
... ... ... ... ...
... ... ... ... ...
...... ...... ...... ......
second differences are same, nth term formula is quadratic
..........solve for
....eq.1
............solve for
...........eq.2
............solve for
...........eq.3
from eq.1 and eq.2 we have
.......solve for
..............eq.1))
from eq.1 and eq.3 we have
.....solve for
.........divide by
............eq.2))
equal eq.1)) and eq.2))
....solve for
go to
..............eq.1), substitute
go to
....eq.1, substitute and
th term formula is:
or
RELATED QUESTIONS
What is a rule for the nth term of the geometric sequence -3,-6,-12,-24,-48,...?
(answered by jorel1380)
What is the nth term of the sequence 20 27 32 35... (answered by greenestamps)
What is the nth term of the geometric sequence that has a common ratio of 6 and 24 as its (answered by khai)
``write the first six terms of the sequence
2. an=(n+1)^3
4. an=n/n+3
write the... (answered by CubeyThePenguin)
what is the nth term of the sequence... (answered by richwmiller)
what is the nth term of the sequence... (answered by Edwin McCravy)
What is the nth term of arithmetic sequence... (answered by solver91311)
What is the nth term of this number sequence... (answered by josgarithmetic)
Alpha writes the infinite arithmetic sequence
10, 8, 6, 4, 2, 0 ...
Beta writes the... (answered by robertb)