mathmath333
  • mathmath333
Question
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
?
mathmath333
  • mathmath333
In Arithmetic Progression \(\large \color{black}{\begin{align} S_{15}=150, \ S_{25}=200 ,\ S_{n}=0,\ n=?\hspace{.33em}\\~\\ \end{align}}\)
anonymous
  • anonymous
God its been a while since I have done this I would be no help to you sorry

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hartnn
  • hartnn
so you know the sum of Arithmetic series formula ?
mathmath333
  • mathmath333
\(n/2\left(2a+(n-1)d\right)\)
hartnn
  • hartnn
so with the given data, can we form 2 equations in 2 unknowns and solve for 'a' and 'd' ?
mathmath333
  • mathmath333
yes
hartnn
  • hartnn
150 = 15 (a+ 7d) 200 = 25 (a+ 12d) right ?
mathmath333
  • mathmath333
yes
hartnn
  • hartnn
so what values did u get for a and d ?
mathmath333
  • mathmath333
\(a=64/5,d=-2/5\)
hartnn
  • hartnn
for Sn = 0 2a+(n-1)d = 0 [because n can't be 0]
mathmath333
  • mathmath333
oh yes
hartnn
  • hartnn
so n is?
mathmath333
  • mathmath333
|dw:1434473688893:dw|
mathmath333
  • mathmath333
:)
hartnn
  • hartnn
\(\Huge \checkmark \)

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