MHB Number patterns and sequences - Tn Term

JanleyKrueger
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The number sequence is as follows:

3x+5y; 5x; 7x-5y; 9x-10y...

I need to formulate a general term - Tn=T1+d(n-1)
In the above sequence I have no idea what.
I also think this sequence is non linear.
Please help with a solution
Thanks
 
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If it is non- linear then it cannot be written in that form! Taking T_1= 3x+ 5y, T_2=5x, T_3= 7x-5y, and T_4= 9x-10y, then you want T_2= 5x= 3x+ 5y+ d so d= 2x- 5y. But then you want <br /> T_3= 7x- 5y= 3x+ 5y+ 2d so d= (4x- 10y)/2= x- 10y. Those are not the same so this sequence cannot be written in that way.
 
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