Let … be an A.P., … and …. If … = 27 and S - 2T = 75, then … is equal to :

Option C. Let the common difference = d

Sequences and Series

JEE Main 2019 · 9 Jan, Morning shift · Q5208

MathematicsHard178×since 2002Q5208

Let

{a_1},{a_2},.......,{a_{30}}

be an A.P.,

S = \sum\limits_{i = 1}^{30} {{a_i}}

and

T = \sum\limits_{i = 1}^{15} {{a_{\left( {2i - 1} \right)}}}

. If

a_5

= 27 and S - 2T = 75, then

a_{10}

is equal to :

JEE Main 2019 · 9 Jan, Morning shift · Q5208

MathematicsHard178×since 2002Q5208

Let

{a_1},{a_2},.......,{a_{30}}

be an A.P.,

S = \sum\limits_{i = 1}^{30} {{a_i}}

and

T = \sum\limits_{i = 1}^{15} {{a_{\left( {2i - 1} \right)}}}

. If

a_5

= 27 and S - 2T = 75, then

a_{10}

is equal to :