This week in Pre Calc 11, we were studying for our midterm. One unit that I was struggling with was the first unit, Sequences and Series, mainly sequences.

For example…

Find $t_{45}$ for the arithmetic series 11, 17, 23, 29, 35….

Our formula is…

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

So, we know that d=6 $t_{1} = 11$ and n=45

$t_{45} = 11+(45-1)(6)$

$t_{45} = 11+(44)(6)$

$t_{45} = 11+(264)$

So,

$t_{45} = 275$

Week 10 – Midterm Review – Sequences and Series