In Week 1 we had learned about Arithmetic Sequences. This week we had learned about Geometric Sequences. Both of these are different as Arithmetic is addition of a positive or negative number of a common difference and Geometric is multiples of a common ratio. This week we learned how to find a term of a Geometric Sequence.

Geometric Sequence: 2,4,8,16,32

We know that r=2 and t_{1} = 2.

To find t_{12} we need to use the equation t_{n} = (a)(r)^n-1

So, t_{12} = (2)(2)^12-1

t_{12} = (2)(2)^11

t_{12} = (2)2048

t_{12} = 4096

Geometric Sequence: 18, 6, 2, \frac {2}{3}\frac {2}{9}

We know r=\frac {1}{3} and t_{1} = 18

To find t_{12} we need to use the equation t_{n} = (a)(r)^n-1

S0 t_{12} =(18)(\frac {1}{3})^12-1

t_{12} =(18)(\frac {1}{3})^11

t_{12} =(18)(\frac {1}{177147})

t_{12} =(\frac {2}{19683})

Week 2- Geometric Sequences
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