Burak received 12 rare stamps as a gift from his grandfather, so he decided to start a stamp collection. From the following week onward, Burak added 4 new stamps to his collection each week.
Let g(n) be the total number of stamps in Burak's collection in the n^th week of the collection.
g is a sequence. What kind of sequence is it?
5 answers
The sequence g is an arithmetic sequence because each term is obtained by adding a constant value (in this case, 4) to the previous term.
Complete the recursive formula for g(n)
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The recursive formula for g(n) can be written as:
g(n) = g(n-1) + 4
This formula states that the number of stamps in Burak's collection in the n-th week is equal to the number of stamps in the previous week (n-1) plus 4 new stamps added in the n-th week.
g(n) = g(n-1) + 4
This formula states that the number of stamps in Burak's collection in the n-th week is equal to the number of stamps in the previous week (n-1) plus 4 new stamps added in the n-th week.
g(1)=
Since Burak started with 12 rare stamps, g(1) = 12.