Week 1 – My Arthmetic Sequence |

September 10, 2018 by dylans2016 Categories: Math 11.Tags: sequencesBookmark the permalink

4, 10, 16, 22, 28…..

Difference (d) = +6

Find $t_{50}$

Equation for $t_{50}$ : $t_n$ = $t_1$ + (n – 1)d

$t_{50}$ = 4 + (50 – 1)6

= $t_{50}$ = 4 + 49(6)

= $t_{50}$ = 53(6)

= $t_{50}$ = 318

Equation for $S_{50}$ : $S_n$ = $\frac{n}{2}$ ( $t_1$ + $t_{50}$ )

$S_n$ = $\frac{50}{2}$ (4 + 318)

= $S_n$ = 25 (4 + 318)

= $S_n$ = 25 (322)

= $S_n$ = 8050

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