For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate Lim Sn to obtain the value of the series or state that the series diverges. n→[infinity]
[infinity]
Σ (4/√k+5 ) - 4/ √ k+6)
k=1

Looks like the series is

This series has n-th partial sum

(where is used as a placeholder for the summand)

In each grouped term, the last term is annihilated by the first term of the next group; that is, for instance,

Ultimately, all the middle terms will vanish and we're left with

As , the last term converges to 0 and we're left with

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )