Respuesta :
the last cow gives 202 pints of milk
Given :
There are 199 cows line up in the barn and he begins milking them.
The first cow gives 4 pints of milk. The next cow gives 5 pints of milk. The next gives 6 pints, and so on, increasing by 1 pint each cow.
pints of milk is increasing 1 by a sequence
4,5,6,7 ......... and so on
when n=1 , the cow given 4 pints of milk
The sequence is arithmetic
nth cow is 199. Lets find out pints of milk when n=199
apply nth formula of arithmetic
[tex]T_n = T_1 + (n-1) d\\[/tex]
n=199
difference d=1
T1=4
Substitute all the values
[tex]T_n = T_1 + (n-1) d\\\\\\T_{199}=4+(199-1)1\\T_{199}=4+198\\T_{199}=202[/tex]
So, the last cow gives 202 pints of milk
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