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Question

If a1=12×5, a2=15×8, a3=18×11,....., then a1+a2+a3+.....+a100 is


  1. 25151

  2. 12

  3. 14

  4. 11155


Solution

The correct option is A

25151


a1=12×5; a2=15×8; a3=18×11,.....,an=13(12+(n1)315+(n1)3)
Let, S=a1+a2+a3........+a100
S=13(1215)+13(1518)+13(18111)+13(12991302)S=13(121302)S=25151

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