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Answer:3645 First we have to know the type of this sequenceso it is clear that the sequence is not increasing with a constant value so I think it is geometric sequence and to make sure If we divide 
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Pitxbullxgirl

A geometric series has the general formula for calculating the next number as follows 

Series is 5, 15 , 45 , T4 , T5 , T6 
Next Term (or nth term) = ar^n-1 

a = first term, i.e. 5 
r = common ratio i.e. 3 (as 15/5=3 and 45/15=3 so this must be a common ratio all through) 
n = the next terms we're to calculate.... 
as you already have 1st , 2nd and 3rd terms..then the next one is 4th then 5th and 6th. 

therefore n= 4 

substituting now 
T4= ar^n-1 
= 53^4-1 
= 53^3 
= 527 
T4 = 135 

T5= ar^n-1 
= 53^5-1 
= 53^4 
= 581 
T5 = 405 

T6= ar^n-1 
= 53^6-1 
= 53^5 
= 5*243 
T6= 1215 

Therefore whole series is 5, 15, 45, 135, 405, 1215 withe the last 3 being your required ones.

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