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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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In Arithmetic Progression \(\large \color{black}{\begin{align} S_{15}=150, \ S_{25}=200 ,\ S_{n}=0,\ n=?\hspace{.33em}\\~\\ \end{align}}\)
God its been a while since I have done this I would be no help to you sorry

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Other answers:

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

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