First, find the common difference of the sequence. The next term of the sequence can be calculated by adding the common difference to the previous one.
Next Three Terms: 7.5, 12, 16.5 Graph:
Practice makes perfect
First, we need to find the common difference of the arithmetic sequence. We are told that the first term is 3 and that the common difference is 1.5 times the first term.
d= 1.5* 3 = 4.5
By adding the common difference to the first term, we get the second term. We can then use this information to find each consecutive term.
rrl
a_1 &&= 3
a_2=& 3 + 4.5&= 7.5
a_3=& 7.5 + 4.5&= 12
a_4=& 12 + 4.5&=16.5
To graph the sequence we have to write the terms as ordered pairs, (n,a_n). Here, n is the position of the term and a_n is its value.
n
a_n
(n,a_n)
1
3
(1,3)
2
7.5
(2,7.5)
3
12
(3,12)
4
16.5
(4,16.5)
If we mark these points on a coordinate plane, we get the graph of the sequence.
