Q. Complete the recursive formula of the arithmetic sequence 1,15,29,43,…..
a(1)=\(\square\)
a(n)=a(n-1)+\(\square\)
Identify First Term: Identify the first term of the sequence. The first term in the sequence is given as 1.
Determine Common Difference: Determine the common difference between consecutive terms. To find the common difference, subtract the first term from the second term: 15−1=14.
Write Recursive Formula: Write the recursive formula using the first term and the common difference. The recursive formula for an arithmetic sequence is a(n)=a(n−1)+d, where d is the common difference. Since the first term a(1) is 1 and the common difference is 14, the recursive formula is:a(1)=1a(n)=a(n−1)+14
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