Betsy is saying for a bird cage. she saves $1 the first week, $3 the second week, $9 the third week, and so on. all together how much money will she have saved in 5 weeks?

Betsy will save $121 in 5 weeks.

Step-by-step explanation:

We can see that Betsy's savings are 3 times the saving of her last week. We can see that this is an geometric sequence as 1,3,9,..

To find the sum of our geometric sequence we will use , where n is number of terms we are taking sum of, a is first term of sequence and r is common ratio of the sequence.

Therefore, Betsy will save $121 in 5 weeks.

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