Consider the arithmetic sequence 13, 24, 35, ....a. Find an explicit form for the sequence in terms of n.

Answer:The explicit form for the sequence is: [tex]a_{n}=13+(n-1)(11)[/tex]Step-by-step explanation:In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the explicit formula.An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.The explicit formula is:[tex]a_{n}=a_{1} + (n-1)d[/tex]Where a1 is the first term, d is the common difference and an is the nth term of the sequence.You have to subtract two consecutive terms to obtain d:24-13= 1135-24=11Therefore d=11In this case a1=13Replacing in the formula:[tex]a_{n}=13+(n-1)(11)[/tex]