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{a 1 , a 2 …………., a 4 ……..} is a progression where a n = n 2 /(n 3 +200). The largest term of this progression is: a 6 a 7 a 8 none

{a1, a2…………., a4……..} is a progression where an = n2/(n3+200). The largest term of this progression is:
 
 
  1.  a6
  2. a7
  3. a8
  4. none

Grade:10

1 Answers

Y RAJYALAKSHMI
45 Points
6 years ago
On differentiating w.r.t n & equating to 0, we get (n3 + 200) * 2n – n2* (3n2) = 0
=> n3 = 400  => n = 7.3
Since n is a naturanl no, on verification we can find that an attains maximum value at n = 7
 
Ans = a7 

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