Question

Question 3 Which of the following statements involving sigma notation is always true? A $sum_{k=1}^{n} (a_k cdot b_k) = sum_{k=1}^{n} (a_k) cdot sum_{k=1}^{n} (b_k)$ B $sum_{k=1}^{n} (a_k - b_k) = sum_{k=1}^{n} (b_k) - sum_{k=1}^{n} (a_k)$ C $sum_{k=1}^{n} (a_k + b_k) = sum_{k=1}^{n} (a_k) + sum_{k=1}^{n} (b_k)$ D $sum_{k=1}^{m} (a_k) + sum_{k=1}^{n} (a_k) = sum_{k=1}^{m+n} (a_k)$

          Question 3

Which of the following statements involving sigma notation is always true?

A $sum_{k=1}^{n} (a_k cdot b_k) = sum_{k=1}^{n} (a_k) cdot sum_{k=1}^{n} (b_k)$

B $sum_{k=1}^{n} (a_k - b_k) = sum_{k=1}^{n} (b_k) - sum_{k=1}^{n} (a_k)$

C $sum_{k=1}^{n} (a_k + b_k) = sum_{k=1}^{n} (a_k) + sum_{k=1}^{n} (b_k)$

D $sum_{k=1}^{m} (a_k) + sum_{k=1}^{n} (a_k) = sum_{k=1}^{m+n} (a_k)$