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 = 2.
To find we need to use the equation
= (a)(r)^n-1
So, = (2)(2)^12-1
= (2)(2)^11
= (2)2048
= 4096
Geometric Sequence: 18, 6, 2, ,
We know r= and
= 18
To find we need to use the equation
= (a)(r)^n-1
S0 =(18)(
)^12-1
=(18)(
)^11
=(18)(
)
=(
)
Week 2- Geometric Sequences