Select the first five terms in the arithmetic sequence an = 4n, starting with n = 1.
1,4,8,...
oops. That would be 4,8,12,...
To find the first five terms of an arithmetic sequence, we can use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, and d is the common difference between consecutive terms.
In this case, we are given that the first term, a1, is given by a1 = 4n, where n = 1.
Let's substitute these values into the formula to find the first five terms:
a1 = 4(1) = 4
a2 = a1 + (2 - 1)d = 4 + (2 - 1)d = 4 + d
a3 = a1 + (3 - 1)d = 4 + (3 - 1)d = 4 + 2d
a4 = a1 + (4 - 1)d = 4 + (4 - 1)d = 4 + 3d
a5 = a1 + (5 - 1)d = 4 + (5 - 1)d = 4 + 4d
Therefore, the first five terms of the arithmetic sequence an = 4n, starting with n = 1, are:
a1 = 4
a2 = 4 + d
a3 = 4 + 2d
a4 = 4 + 3d
a5 = 4 + 4d
Please note that the common difference (d) is not explicitly given, so without further information, it is not possible to determine the exact values of the terms in this sequence.