Week 1 – My Arithmetic Sequence

September 10, 2018Math 11sequencesshaylyng2016

My Arithmetic Sequence: -2, 5, 12, 19, 26…

$t_n=t_1+(n-1)(d)$

$t_{50}=-2+(50-1)(7)$

$t_{50}=-2+(49)(7)$

$t_{50}=-2+343$

$t_{50}=341$

$t_n=t_1+(n-1)(d)$

$t_n=-2+(n-1)(7)$

$t_n=-2+7_n-7$

$t_n=7_n-9$

$S_n=\frac{n}{2}(t_1+t_n)$

$S_{50}=\frac{50}{2}(-2+341)$

$S_{50}=25(339)$

$S_{50}=8475$

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