Let a1,a2,a3 ...... a11 be real numbers satisfying a1=15,27−2a2>0andak=2ak−1−ak−2 for k=3,4,…..11 If 11a12+a22…….a112=90 then find the value of 11a1+a2….+a11

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Let a1,a2,a3 ...... a11 be real numbers satisfying {a}_{{1}}={

Question

Let a1,a2,a3 ...... a11 be real numbers satisfying $a_{1} = 15, 27 - 2 a_{2} > 0 and a_{k} = 2 a_{k - 1} - a_{k - 2}$ for $k = 3, 4, \dots . .11$ If $\frac{a 1 ^{2} + a 2 ^{2} \dots\dots . a 11 ^{2}}{11} = 90$ then find the value of $\frac{a _{1} + a _{2} \dots . + a _{11}}{11}$

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Let a1,a2,a3 ...... a11 be real numbers satisfying

a_{1} = 15, 27 - 2 a_{2} > 0 and a_{k} = 2 a_{k - 1} - a_{k - 2}

for

k = 3, 4, \dots . .11

\frac{a 1 ^{2} + a 2 ^{2} \dots\dots . a 11 ^{2}}{11} = 90

then find the value of

\frac{a _{1} + a _{2} \dots . + a _{11}}{11}

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Question Text

Let a1,a2,a3 ...... a11 be real numbers satisfying

a_{1} = 15, 27 - 2 a_{2} > 0 and a_{k} = 2 a_{k - 1} - a_{k - 2}

for

k = 3, 4, \dots . .11

\frac{a 1 ^{2} + a 2 ^{2} \dots\dots . a 11 ^{2}}{11} = 90

then find the value of

\frac{a _{1} + a _{2} \dots . + a _{11}}{11}