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Answer :

Answer:

-335670

Step-by-step explanation:

Given :

  • a₁ = 2
  • [tex]a_{i} = a_{i-1}-3[/tex]

Solving :

  • Sum of an arithmetic sequence is given by
  • S₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)
  • S₃₃₅ = 335/2 x -4008
  • S₃₃₅ = 335 x -2004
  • S₃₃₅ = -335670

It forms a arithmetic sequence

  • First term=a=2
  • Common difference=d=-3

So

a_335:-

  • a+334d
  • 2-(334)(3)
  • 2-1002
  • -1000

So

S_n

  • n/2[a+l]
  • 335/2[2-1000]
  • 335/2[-998]
  • 335(-499)
  • -167165

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