Answer:
Step-by-step explanation:
hello :
the nth term of an arithmetic sequence is :
an =a1+(n-1)d ....a common difference is : d and the first term is a1
in this exercice : an=12−5(n−1) a1 = 12 and d= -5
a30 = 12-5(30-1) =12-5×29 = 12-145 = - 133
The 30th term is -133.
A recursive function is a function that defines each term of a sequence using a previous term that is known, i.e. where the next term is dependent on one or more known previous term(s). A recursive function h(x) can be written as:
h(x) = a0 h(0) + a1h(1) + ....... + ax-1 h(x-1) where ai ≥ 0 and at least one of the ai > 0
A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
Given:
an=12−5(n−1)
a1= 12- 5(0)= 12
a2= 12-5(2-1) = 12-5 = 7
a3= 12-5(3-1)= 12-5(2)= 12-10= 2
.
.
.
....
a30= 12-5(30-1)
a30= 12-5(29)
a30= 12-145
a30= -133
Learn more about recursive method here:
https://brainly.com/question/1470853
#SPJ5
