Question

Which of the following expressions correctly uses the properties of summations to represent

Answer 1

Answer:

Option C is correct.

$7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Step-by-step explanation:

Given the expression:  $\sum_{i=1}^{18} (7i^2+9)$

Using properties of summation:

• $\sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi$

• $\sum_{i=1}^{n} a = an$

Using properties of summation in the given expression we have;

$\sum_{i=1}^{18} (7i^2+9)$

= $\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9$

=$7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Therefore, the following given expression uses the properties of summation to represents is, $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Answer 2

It is c but I don’t sure