Common Ratio / Difference (Level 1)
Question
Find the common difference of the arithmetic sequence.
4,12,20, ...
The common difference is found by subtracting the second term from the first term in the sequence.
12 - 4 = 8
Therefore, the common difference in the arithmetic sequence 4,12,20, ... is 8.
Nth Term of an Arithmetic Sequence
Question
Find the 94th term of the arithmetic sequence.
−26,−37,−48, ...
To find the nth term of an arithmetic sequence, we can use the formula:
nth term = a + (n-1)d
where:
- a is the first term in the sequence
- n is the position of the term we want to find
- d is the common difference between terms
Given the sequence: -26, -37, -48, ...
The first term: a = -26
The common difference: d = -37 - (-26) = -37 + 26 = -11
Now, we want to find the 94th term:
n = 94
Plugging into the formula:
94th term = -26 + (94-1)(-11)
94th term = -26 + 93(-11)
94th term = -26 - 1023
94th term = -1049
Therefore, the 94th term of the arithmetic sequence -26, -37, -48, ... is -1049.