The ratio of the sums of m and n terms of an AP is m2 : n2 show that - Maths - Arithmetic Progressions

Question

The ratio of the sums of m and n terms of an AP is
m2 : n2 show that the ratio of the
mth and nth terms is (2m-1) : (2n-1)
In an AP, the sum of first n terms is 3n2/2 + 5n/2,
find its 25th term

Priyanka Kedia · Accepted Answer

Let the first term and common difference of an A P is a, d respectively So, sum of m and n terms of an A P is as,

And,

So,

Now,

Hence, ratio of mth and nth term is 2m-1 : 2n-1

The ratio of the sums of m and n terms of an AP is m2 : n2. show that the ratio of the mth and nth terms is (2m-1) : (2n-1) In an AP, the sum of first n terms is 3n2/2 + 5n/2, find its 25th term.

The ratio of the sums of m and n terms of an AP is m²: n^2. show that the ratio of the m^th and n^th terms is (2m-1) : (2n-1)

In an AP, the sum of first n terms is 3n²/2 + 5n/2, find its 25^thterm.