Answer:
Sum notation will be [tex]\sum_{n=1}^{21}(225-25n)[/tex]
Step-by-step explanation:
The given series is 200 + 175 + 150 + 125........+(-300)
Here [tex]T_{n}=a+(n-1)d[/tex]
a = 200
d = -25
T(n) = -300
Therefore from the equation
-300 = 200 + (n-1)(-25)
200 -25n + 25 = -300
225 - 25n = -300
-25n = -300 - 225 = -525
n = (-525)/(-25) = 21
Now [tex]T_{n}=200+(n-1)(-25)[/tex]
[tex]T_{n}= 200+25-25n = (225-25n)[/tex]
Now the notation will be
[tex]\sum_{n=1}^{21}(225-25n)[/tex]
