SOLUTION: If an= 27 , a1= -12 and d=3 find n

Algebra.Com
Question 1154461: If an= 27 , a1= -12 and d=3 find n
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
-----
If an= 27 , a1= -12 and d=3 find n
-----





You are given .
Just substitute and solve.

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

In arithmetic progression


     =  + (n-1)*d.


In your case, it takes the form


    27 = -12 + (n-1)*3.


From this equation


    n-1 =  =  = 13.


Hence,  n = 13 + 1 = 14.    ANSWER

Solved.

---------------------

For introductory lessons on arithmetic progressions see
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.


RELATED QUESTIONS

If a1 = -27 and d = 3 find... (answered by ikleyn)
How to find An and n if Sn,A1 and d is... (answered by Edwin McCravy)
Find n if Sn = 63, a1 = 21, and d =... (answered by FrankM)
an=a1-3^n (answered by ikleyn)
i really need help on these ones they got me really confused i would appreciate it if i... (answered by stanbon,Prithwis)
An=A1 +... (answered by ikleyn)
find n for the series for which an =138 a1 =-2 and... (answered by richwmiller)
A1= 7, An= -20, Sn = -65 determine n and... (answered by tommyt3rd)
i cant figure out these problems 27. 75 sigma n=21 (2n+5) i solved this problem using... (answered by vleith)