In an AP, it is given that S_5+S_7=167 and S_{10}=235, then find t | Filo
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Arithmetic Progressions

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In an AP, it is given that and , then find the AP, where denotes the sum of its first terms.

Solution:
Let be the first term and be the common difference of the AP.

Similarly,
and

Now,
.........(i)
and
.......(ii)

Multiply (i) by (i) and (ii) by ,
-         -       -
_________________

From (i),
Which implies: and
Therefore, the AP is .
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