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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