NDA2023MathematicsSequences and SeriesActual
Let t₁, t₂, t₃, be in GP. What is (t₁ t₃ t₂₁ )^ 1 11 equal to?
Options
- At₁₀
- Bt₁₀^2
- Ct₁₁
- Dt₁₁^2
Correct answer
C. t₁₁
Step-by-step solution
since, t₁, t₂, t₃ in G.P Let t_n=a r^ n-1 Now, (t₁ . t₃ . . t₂₁ )^ 1 11 aligned & = ( a ¹¹ r ¹¹⁰ )^ 1 11 = ar ¹⁰= t ₁₁ aligned