The sum of n terms of two ap are in ratio (5n+4) : (9n+6) Find the ratio of their 18th term?
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Let a1, a2, and d1, d2 be the first terms and the common difference of the first and second arithmetic progression respectively.
According to the given condition,
Substituting n = 35 in (1), we obtain
From (2) and (3), we obtain
Thus, the ratio of 18th term of both the A.P.s is 179: 321.