If the sum of n terms of two arithmetic progressions are in the ratio 2n + 5 : 3n + 4, then write the ratio of their mth terms.

Question

Philoid · Accepted Answer

Let n^th term of first A.P. be denoted by a_n

And n^th term of second A.P. be denoted by a_n’

Now, multiplying both sides by 2 we get,

The ratio of m^th term is 4m+3:6m+1