To determine if the sequence is arithmetic, we need to check if the difference between consecutive terms is constant.
18 - 3 = 15
33 - 18 = 15
48 - 33 = 15
Since the difference between each pair of consecutive terms is 15, the sequence is arithmetic. The common difference is 15.
To find the 32nd term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d
where
an is the nth term
a1 is the first term
d is the common difference
We are given the first term (a1 = 3), the common difference (d = 15), and we need to find the 32nd term (an = ?).
Plugging these values into the formula, we get:
a32 = 3 + (32-1)15
a32 = 3 + 465
a32 = 468
Therefore, the 32nd term of the sequence is 468.
determine whether each sequence is arithmetic. If so, identify the common difference and find the 32nd term of the sequence. 3,18,33,48
3 answers
is that correct
Yes, that is correct.
1 answer