Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
[5/1*2]+[5/2*3]+[5/3*4]++[5/n(n+1)] +

; 5

Step-by-step explanation:

Given series :

Sum of series =

Consider

⇒

Put values of n= 1,2,3,4,5,.....n

⇒

All terms get cancel but First and last terms left behind.

⇒

Formula for the nth partial sum of the series :

Also,

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)