⭐ The sum of n terms of two A.P.s are in the ratio of(7n-5)/(5n+17) . Then the _____ term of the two series are equal. ⭐
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As we know, the sum of n terms of an A.P.
Sn=2n×[2a+(n−1)d]
Let a1 & a2 be the first terms of the two A.P. and d1 & d2 be the common differences of the two A.P.s.
2n⋅[2a2+(n−1)d2]2n⋅[2a1+(n−1)d1]=5n+177n−5
⇒2a2+(n−1)d22a1+(n−1)d1=5n+177n−5
⇒a2+2(n−1)d2a1+(2
hope it help
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