I'll give branliest plsss

Step-by-step explanation:

1)  repeated Infinite decimals are geometric sequences.

x= 0.045 + 0.045*0.01 + 0.0045*0.01^2 and so on.

Convert it to a function.

Be Careful!!! this is not the answer.

We found the function that represents the sequence {0.045, 0.00045, 0.0000045...}

Now, because the infinite decimal is the SUM of these terms in the sequence, we have to use summation.

S∞ = a1 / (1-r ) is the summation for infinite geometric sequence.

a1=0.045

r=0.01

S=0.045/(1-0.01)=0.045/0.99=45/990= 1/22

2)

convert 0.136 and 0.2 to fractions (follow the same steps as in #1):

S∞ = a1 / (1-r )

Then multiply the two fractions to get 1/33:

I'm really sorry but I really don't have time to write all these processes

Just follow the steps in #1

Good Luck ;)

muyb ajo

step-by-step explanation:

jegosu

it's