Week 2 – Geometric Sequences

To find a specific term in a geometric sequences you must have a sequence to work with, the find the common ratio which would be \frac {t_n}{t_{n-1}} . After you find the common ratio and find t_1, you can fill in the general equation and then let the equation do the math!

2, 4, 8, 16, 32 FindĀ t_{11}

 

t_n=ar^{(n-1)}

 

t_{11}= 2x 2^{11-1}

 

t_{11}= 2x 2^{10}

 

t_{11}= 2×1024

 

t_{11}=2048

 

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