Find the indicated sum. Express the sum using summation notation. Use 1 as the lower limit Use the formula for the general term with the given first term and common difference Solution Summation(i +1)!/(i+2) ; i = 1 to 5 So, writing the terms : 2!/3! + 3!/4! +4!/5! + 5!/6! + 6!/7! = 1/3 + 1/4 + 1/5 + 1/6 + 1/7 Least common multiple of denominator : 3*4*5*7 = 420 = ( 140 + 105 +84 + 70 + 60)/420 = 459/420 = 153/210 = 51/70.

1. Find the indicated sum. Express the sum using summation notation. Use 1 as the lower limit
Use the formula for the general term with the given first term and common difference
Solution
Summation(i +1)!/(i+2) ; i = 1 to 5
So, writing the terms : 2!/3! + 3!/4! +4!/5! + 5!/6! + 6!/7!
= 1/3 + 1/4 + 1/5 + 1/6 + 1/7
Least common multiple of denominator : 3*4*5*7 = 420
= ( 140 + 105 +84 + 70 + 60)/420
= 459/420
= 153/210
= 51/70