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Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

If S_n= _ r=1 ^n ⁻¹ (r^2+3 r+3 ) , then:

Options

  1. AS_ = ⁻¹(2)
  2. BS₅= ⁻¹(3)
  3. CS₆= ⁻¹ ( 17 6 )
  4. DS₈= ⁻¹(5)

Correct answer

C. S₆= ⁻¹ ( 17 6 )

Step-by-step solution

aligned & S_n= _ r=1 ^n ⁻¹ ( 1 1+(r+2)(r+1) ) ; S_n= _ r=1 ^n ⁻¹(r+2)- ⁻¹(r+1) & S_n= ⁻¹(n+2)- ⁻¹(2) now verify. aligned

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