Let … denote the sum of the first … terms of an arithmetic progression. If … and the ratio of the tenth and the fifth terms is …, then … is equal to :

Option C. To solve this problem, we will start by using the properties of an arithmetic progression (AP).

Sequences and Series

JEE Main 2024 · 1 Feb, Evening shift · Q5232

MathematicsHard178×since 2002Q5232

Let

S_n

denote the sum of the first

n

terms of an arithmetic progression. If

S_{10}=390

and the ratio of the tenth and the fifth terms is

15: 7

, then

\mathrm{S}_{15}-\mathrm{S}_5

is equal to :