Q. Complete the recursive formula of the arithmetic sequence 0,11,22,33,…..
c(1) = \(\square\)
c(n) = c(n-1)+\(\square\)
Identify First Term: Identify the first term of the sequence. The first term in the sequence is 0. This will be our c(1).
Determine Common Difference: Determine the common difference between consecutive terms. By subtracting the first term from the second term, we find that the common difference is 11 (since 11−0=11).
Write Recursive Formula: Write the recursive formula using the first term and the common difference. The recursive formula for an arithmetic sequence is c(n)=c(n−1)+d, where d is the common difference. Since we have determined that the first term c(1) is 0 and the common difference d is 11, we can write the recursive formula as follows:c(1)=0c(n)=c(n−1)+11 for n > 1
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