Let a 1 ,   a 2 ,   a 3 , … a n , … ,be in A.P. If a 3 + a 7 + a 11 + a 15 = 72 , then…

Let a1, a2, a3,an, ,be in A.P. If a3+a7+a11+a15=72, then the sum of its first 17 terms is equal to :
  1. 306
  2. 204
  3. 153
  4. 612

Solution

a3+a7+a11+a15=72

a3+a15+a7+a11=72

a3+a15=a7+a11=a1+a17

a1+a17=36

S17=172a1+a17=17×18=306

Asked in: JEE Main 2016 (10 Apr Online)

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