My Arithmetic Sequence

6,3,0,-3,-6

 

t_{n} = t_{1} + (n-1) d

t_{50} = 6 + 49 (-3)

t_{50} = 6 + (-147)

t_{50} =  -141

 

t_{n} = t_{1} + (n-1) d

t_{n} = 6 + (n-1) (-3)

t_{n} = 6 + (-3n) + 3

t_{n} = (-3n) + 9

 

s_{n}\frac{n}{2} (2 t_{1} + (n-1) d)

s_{50}\frac{50}{2} (2 (6) + 49 (-3))

s_{50} = 35 (2 (6) + 49 (-3))

s_{50} = 35 (12 + -147)

s_{50} = 35 (-135)

s_{50} = 35 (-135)

s_{50} = -4725

 

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