in a sequence of numbers

a3 = o,a4=4,a5=8,a6=12 and a7 =16
based on this imfromation which equaution can be used to find the nth term in the sequence, a n?

3 answers

Based on the given information, we can determine that it is an arithmetic sequence with a common difference of 4.

Therefore, the equation to find the nth term (an) in the sequence can be expressed as:

an = a1 + (n-1)d

where:
an represents the nth term
a1 represents the first term in the sequence (a3 = o, implies a1 = -8)
d represents the common difference (d = 4)

Thus, the equation becomes:

an = -8 + 4(n - 1)
a_{n}=-12n+4
a_{n}=12n+4
a_{n}=4n-12
a_{n}=-4n+12
None of the provided equations match the given sequence. The correct equation for finding the nth term in the sequence based on the given information is:

an = 4n - 12