Given that ,
find the value of
using the properties of the summation notation .
Remember the properties of summation notation: for two sequences and , where and , :
To find the sum of the given series, we first apply the rule of multiplication to take the 9 out of the sum.
Then we apply the rule of addition and subtraction.
Following this, we evaluate the sum of the constant 37 using, noting that we have five terms in the sum.
Then we can apply the rule for the change of limits.
Finally, we apply the given formula to calculate the answer.