Question

Find the sum of the series. Include each term that leads to the final sum and show the expression for finding that term. ∑5k=3(−2k+5)

Answer 1

Answer:

$\large\boxed{\sum\limits_{k=3}^5(-2k+5)=-9}$

Step-by-step explanation:

$\sum\limits_{k=3}^5(-2k+5)\to a_k=-2k+5\\\\\text{Put}\ k=3,\ k=4\ \text{and}\ k=5:\\\\a_3=-2(3)+5=-6+5=-1\\a_4=-2(4)+5=-8+5=-3\\a_5=-2(5)+5=-10+5=-5\\\\\sum\limits_{k=3}^5(-2k+5)=-1+(-3)+(-5)=-9$