SOLUTION: Determine the value of t1 for an arithmetic sequence, where d = –4 and S14 = 1 120 Ive been having so much trouble trying to figure out how to find t1 without Tn or n. (d= chan

Algebra.Com
Question 1094949: Determine the value of t1 for an arithmetic sequence, where d = –4 and S14 = 1 120
Ive been having so much trouble trying to figure out how to find t1 without Tn or n.
(d= change in each term
S14=sum of the 14th term)

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
The formula for the sum of the first n terms of an AP is


 = .


At n = 14


 = ,   or


1120 = ,


which implies   =  = 80  ====>   = 80 + 26 = 106.

On arithmetic progressions, see the lessons
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved 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

1) determine the sum of the arithmetic series 19.5+14+8.5+...t24 2)Determine the value (answered by Edwin McCravy)
Find the sixth term of an arithmetic sequence with t1=2 and tn=tn-1+4 Thank you so... (answered by Fombitz)
the first three terms of a geometric sequence are: T1:T2:T3. if T2=T1+4 and T3=T2+9,... (answered by fractalier)
I need some help with this question- I missed the unit lesson and I am having trouble... (answered by scott8148)
I need some help with some homework. I'm struggling with these four problems: 1. What... (answered by AnlytcPhil)
can someone please help?! ive tried a bunch of times and cant find the answers!!!... (answered by solver91311)
Fine a6 for an arithmetic sequence where a1=3x+1 and d=2x+6. (answered by josgarithmetic)
I asked this question before, but I did not get all the parts to the uestion posted for... (answered by longjonsilver)
I am having trouble with this question: Write a formula for the general term (the nth... (answered by stanbon)