write a recursive formula for an, the nth term of the sequence 20,25,30,35 a1= an=
To find the recursive formula for this sequence, we need to express each term (an) in terms of the previous term (an-1).
From the given sequence, we can observe that each term is obtained by adding 5 to the previous term. Therefore, the recursive formula for this sequence is:
an = an-1 + 5
Substituting a1 into the formula, we have:
a1 = 20
So, the recursive formula for this sequence is:
an = an-1 + 5, where a1 = 20
To find a recursive formula for the given sequence, we will start by observing the pattern:
a1 = 20
a2 = 25 (a1 + 5)
a3 = 30 (a2 + 5)
a4 = 35 (a3 + 5)
From the pattern, we can see that each term is obtained by adding 5 to the previous term. Therefore, we can express the recursive formula as follows:
For n ≥ 2: an = an-1 + 5
Where a1 = 20 serves as the base case or initial value of the sequence.