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 {a_1^2+a_2^2+...+a_{11}^2}/{11} = 90, then the value of {a_1+a_2+...+a_{11}}/{11} is equal to _____. [JEE Adv 2010 P2]

Sequences and Series

Section: Mathematics

Question : 18 of 22

Marks: +1, -0

Let a1,a2,a3, …, a11 be real numbers satisfying a1 = 15, 27−2a2 > 0 and ak = 2ak−1−ak−2 for k = 3 , 4 , ... , 11. If

a12+a22+...+a112

= 90, then the value of

a1+a2+...+a11

is equal to _____.

[JEE Adv 2010 P2]

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