Select the first five terms in the arithmetic sequence an=8n, starting with n=1
an=8n
Substitute n=1,2,...
a1=8*1=8
a2=8*2=16
...
guess you can take it from here.
To find the first five terms in the arithmetic sequence with the formula an = 8n, we can substitute different values of n.
First term (n = 1):
a1 = 8(1)
a1 = 8
Second term (n = 2):
a2 = 8(2)
a2 = 16
Third term (n = 3):
a3 = 8(3)
a3 = 24
Fourth term (n = 4):
a4 = 8(4)
a4 = 32
Fifth term (n = 5):
a5 = 8(5)
a5 = 40
The first five terms of the arithmetic sequence an = 8n are: 8, 16, 24, 32, 40.
To find the first five terms in the arithmetic sequence, we can substitute the given values of n into the equation an = 8n.
The arithmetic sequence is defined by the formula an = a1 + (n - 1)d, where a1 is the first term, n is the position of a term in the sequence, and d is the common difference between consecutive terms.
In this case, we are given a specific form of the equation that directly relates the term number n to the value of the term an.
To find the first five terms, we substitute the values of n from 1 to 5 into the equation:
For n = 1:
a1 = 8 * 1 = 8
For n = 2:
a2 = 8 * 2 = 16
For n = 3:
a3 = 8 * 3 = 24
For n = 4:
a4 = 8 * 4 = 32
For n = 5:
a5 = 8 * 5 = 40
Therefore, the first five terms in the arithmetic sequence an = 8n, starting with n = 1, are:
8, 16, 24, 32, 40.