Sequence and Series: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jul, Morning shift · Q5183

JEE Main 202226 Jul, Morning shiftMathematicsMediumSequence and Series179× since 2002

Consider two G.Ps. 2, 2², 2³, ..... and 4, 4², 4³, .... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is

{(2)^{{{225} \over 8}}}

, then

\sum\limits_{k = 1}^n {k(n - k)}

is equal to :

JEE Main 2022 · 26 Jul, Morning shift · Q5183

JEE Main 202226 Jul, Morning shiftMathematicsMediumSequence and Series179× since 2002

Consider two G.Ps. 2, 2², 2³, ..... and 4, 4², 4³, .... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is

{(2)^{{{225} \over 8}}}

, then

\sum\limits_{k = 1}^n {k(n - k)}

is equal to :

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