Let a₁,a₂,.......,a₃₀ be an A.P., S = Σ i = 1 ³⁰ a i and T = Σ i = 1 ¹⁵ a (2i - 1). If a₅ = 27 and S - 2T = 75, then a₁₀ is equal to:

Sequence and Series: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Morning shift · Q5208

JEE Main 20199 Jan, Morning shiftMathematicsHardSequence and Series179× since 2002

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

JEE Main 20199 Jan, Morning shiftMathematicsHardSequence and Series179× since 2002

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 :