Find the indicated sum Express the sum using summation notat

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