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Sequences and Series question

2010 · Shift 2 · Q26

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JEE Advanced
Mathematics
Sequences and Series
2010 · Shift 2 · Q26

Sequences and Series question

2010 · Shift 2 · Q26

JEE AdvancedMathematicsSequences and SeriesNumerical+4 / −1

Let

{a_1},\,{a_{2\,}},\,{a_3}

......,

{a_{11}}

be real numbers satisfying

{a_1} = 15,27 - 2{a_2} \gt 0\,\,and\,\,{a_k} = 2{a_{k - 1}} - {a_{k - 2}}\,\,for\,k = 3,4,........11

. if

\,\,\,{{a_1^2 + a_2^2 + .... + a_{11}^2} \over {11}} = 90

, then the value of

{{{a_1} + {a_2} + .... + {a_{11}}} \over {11}}

is equal to :

Numerical answer

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