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# Is this the correct answer? Pre-Calc

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i was just curious as if this is correct or not? If it's not can you show me the correct answer?

Feb 5, 2021

#1
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Woah pre-calc thats new to me lol

wish i could help

Feb 5, 2021
#2
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Ratio Test   =  an+ 1  /  an

an+1  =      6n+1                                            6n+1

_________________   =    ______________

5(n + 1) +1   (n + 1)              5 n + 2  ( n + 1)

an + 1  / a n   =

6n+ 1                                    6n + 1                      5n + 1 n               6  n

___________                      ____________ *    __________  =   _________  =

5 n + 2  ( n + 1)                    5n+ 2 ( n +1)               6n                          5  (n + 1)

_____________    =

6n

______

5n+1 n

6             n

___  *     _____

5            n + 1

The limit as  n ⇒  infinity   on the second  fraction is  just 1

The  limit  as n ⇒  infinity  on the first term is  6/5  =  1.2  >  1

So.....the  series  diverges

Feb 5, 2021