SOLUTION: general term formula for 1 5 14 28 47 please help me

Question 739620: general term formula for 1 5 14 28 47 please help me

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This is similar to this problem

There's a lot of work and steps. Unfortunately I don't have the time right now to show them, so here is the answer: where n is a positive integer.

Note: the answer with fractions only is

Hopefully you can follow the work shown on the link I gave you. Then you can use that example to do this problem. I provided the answer as a check so you can be sure you are on the right page.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
start with
n=1, 2, 3, 4, 5
to get
1 5 14 28 47 set pairs (,)
|
|
|
|
find a line which contains these points

plug in first pair

.......eq.1
plug in second pair

......eq.2
plug in third pair

......eq.3
you have a system:
.......eq.1
......eq.2
......eq.3
______________

.......eq.1...solve for
.....plug in eq.2
......eq.2

.......solve for

......eq.3...substitute and
since , substitute

.......solve for

now find

and find

so,

since we are looking for general term , set

....your general term formula where =,,.......

check:

and so on.......
RELATED QUESTIONS
Please help me find the general term for the following sequence: -14 -15 -12 -5 6 I got... (answered by Edwin McCravy)
Please help me solve this. Find the formula for the general term of the sequence,... (answered by stanbon)
Please help me solve this: Find a rule for a general term for the sequence -1, 1/2,... (answered by jim_thompson5910)
Could I please get help with the following problem: Find a general formula for the... (answered by nerdybill)
Please help me find a general term a sub n for the sequence 1/3, 2/4, 3/5,... (answered by jim_thompson5910)
Please help me solve this sequence: Find the general term of the sequence {{ 1,... (answered by greenestamps)
Please help me with this problem Write a rule for the nth term of the arithmetic... (answered by josgarithmetic,ikleyn)
write a formula for the general (nth term) of the following arithmetic sequence. then use (answered by Mathtut)
Please help me solve this sequence problem from Elementary and Intermediate Algebra.... (answered by tutor_paul)