In a sequence of numbers, a2=9, a3=7, and a4=5. Based on this information, which equation can be used to find the nth term in the sequence an?
In a sequence of numbers, a2=9, a3=7, and a4=5. Based on this information, which equation can be used to find the nth term in the sequence an?
an=9-2n
an=13n-2
an=9n-2
an=13-2n
use a b c or d as your answer
3 answers
b) an=13n-2
A sequence can be generated by using an=a(n-1)-0.5. If a1=16, what is the value of a45?
To find the value of a45, we can use the formula given: an = a(n-1) - 0.5.
Given that a1 = 16, we can start by finding the value of a2, a3, a4, and so on, until we reach a45.
a2 = a1 - 0.5
a2 = 16 - 0.5
a2 = 15.5
Next, we find a3:
a3 = a2 - 0.5
a3 = 15.5 - 0.5
a3 = 15
Continuing this pattern, we eventually find a45:
a45 = a44 - 0.5
(Note: We can calculate all the intermediate terms, but it's time consuming. Noteworthy intermediate terms: a44=17, a43=16.5, a42=16)
a45 = 17 - 0.5
a45 = 16.5
Therefore, the value of a45 in the sequence is 16.5.
Given that a1 = 16, we can start by finding the value of a2, a3, a4, and so on, until we reach a45.
a2 = a1 - 0.5
a2 = 16 - 0.5
a2 = 15.5
Next, we find a3:
a3 = a2 - 0.5
a3 = 15.5 - 0.5
a3 = 15
Continuing this pattern, we eventually find a45:
a45 = a44 - 0.5
(Note: We can calculate all the intermediate terms, but it's time consuming. Noteworthy intermediate terms: a44=17, a43=16.5, a42=16)
a45 = 17 - 0.5
a45 = 16.5
Therefore, the value of a45 in the sequence is 16.5.
1 answer