Let be real numbers satisfying and for . If , then the value of is equal...

Thus the sequence is an A.P. But Now ...

Let a_{1},a_{2},a_{3},,a_{11} be real numbers satisfying a_{1} = 15,27 - 2a_{2} > 0 and a_{k} = 2a_{k - 1} - a_{k - 2} for k = 3,4,,11. If \frac{a_{1}^{2} + a_{2}^{2} + + a_{11}^{2}}{11} = 90, then the value of \frac{a_{1} + a_{2} + + a_{11}}{11} is equal: Sequence & Series (Mathematics)

Let

a_{1},a_{2},a_{3},\ldots\ldots,a_{11}

be real numbers satisfying

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

and

a_{k} = 2a_{k - 1} - a_{k - 2}

for

k = 3,4,\ldots,11

. If

\frac{a_{1}^{2} + a_{2}^{2} + \ldots + a_{11}^{2}}{11} = 90

, then the value of

\frac{a_{1} + a_{2} + \ldots + a_{11}}{11}

is equal