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= 11
35-24=11
Therefore d=11
In this case a1=13
Replacing in the formula:
[tex]a_{n}=13+(n-1)(11)[/tex]
