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Let a 1 , a 2 , a 3 , …… , a 11 be real numbers satisfying a 1 = 15, 27-2 a 2 > 0 and a k = 2a k-1 - a k-2 for k = 3, 4, …. , 11. If (a 1 2 + a 2 2 + a 3 2 + …… + a 11 2 )/11 = 90, then find the value of (a 1 + a 2 + a 3 + …… + a 11 )/11

Let a1, a2, a3, …… , a11 be real numbers satisfying a1 = 15, 27-2 a2> 0 and ak = 2ak-1 - ak-2 for k = 3, 4, …. , 11. If (a12 + a22 + a32 + …… + a112)/11 = 90, then find the value of (a1 + a2 + a3 + …… + a11)/11

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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