NEST2021MathematicsSequences and Series
Let a_n n N and b_n n N be two sets of real numbers, where N denotes the set of natural numbers. Define s_k= _ i=1 ^k a_i and t_k= _ i=1 ^k b_i . Then _ i=1 ^k a_i b_i is equal to
Options
- A_ i=1 ^ k-1 s_i (b_i-b_ i+1 )+s_k b_k
- B_ i=1 ^ k-1 t_i (a_i+a_ i+1 )+t_k a_k
- C_ i=2 ^k s_i (b_i-b_ i-1 )+s₁ b₁
- D_ i=2 ^k t_i (a_i-a_ i-1 )+t₁ a₁
Correct answer
A. _ i=1 ^ k-1 s_i (b_i-b_ i+1 )+s_k b_k
Step-by-step solution
No solution available.