The ratio of their $n$-th term. The sum of $n$ terms of two arithmetic series are in the ratio of $(7n+ 1) : (4n+ 27)$. We have to find the ratio of their $n$-th term.
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I tried to find the ratio by using the formula of summation of A.P.
But it becomes too long due to many variables that is $a_1,a_2,d_1,d_2$

Hint: The sum of $nth$ term of a AP is given by $$\frac{n}{2}[a+a_n]$$.The ratio of first term can easily be found out by putting $n=1$.So it is easy to find out the ratio of $nth$ term using this.
