Week 2 – Precalc 11

During week 2, I learned about geometric sequences. In geometric sequences, the same number has to be multiplied into each term. The number that is being multiplied is called the common ratio. I learned how to find t_n, the ratio, or just n.

Ex. 4, 8, 16, 32, 64, …              Common Ratio = 2

Find t_{16}

t_n = a(r)^{n-1}

t_{16} = 4 (2)^{16-1}

t_{16} = 4 (32,768)

t_{16} = 131,072

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