Question

The sequence an = 8, 13, 18, 23, ... is the same as the sequence Q1=8, an = 2n-1+5.

False
True

Answer 1

The given statement is false because when n=1 in an = 2n-1+5, the result is 6, which does not match the first term of the sequence an = 8, 13, 18, 23, ... .

Step-by-step explanation:

The sequence an = 8, 13, 18, 23, ... appears to be an arithmetic sequence with a common difference of 5. To determine whether the sequence defined by an = 2n-1+5 is the same, we can test a few terms.

For n=1:
a1 = 2(1)-1+5 = 6, which does not match the original sequence.

Therefore, the statement that the sequence an = 8, 13, 18, 23, ... is the same as the sequence defined by an = 2n-1+5 is False.