My Arithmetic Sequence

3,7,11,15,19…

How to find t_{50}

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

t_{50}=3+(50-1)(4)

t_{50}=3+(49)(4)

t_{50}=3+196

t_{50}=199

t_{n}=7+4n

How to find S_{50}

S_{50}=\frac{n}{2} (t_1,+t_n)

S_{50}=\frac{50}{2} ( 3,+199)

S_{50}=\frac{50}{2} (102)

S_{50}=25(102)

S_{50}=2550

 

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