Compute successive differences of the terms.
If they are all the same, the sequence is arithmetic and the common difference is the difference you have found.
If successive pairs of differences have the same ratio, the sequence is geometric and the common ratio is the ratio you have determined.
Example of arithmetic sequence:
1, 3, 5, 7
Successive differences are 3-1 = 2, 5-3 = 2, 7-5 = 2. All the differences are 2, which is the common difference of the sequence.
Example of geometric sequence:
1, -3, 9, -27
Successive differences are -3-1 = -4, 9-(-3) = 12, -27-9 = -36. These are not the same, so the sequence is not arithmetic. Ratios of successive pairs of differences are 12/-4 = -3, -36/12 = -3. These are the same, so the sequence is geometric with common ratio -3.
One polynomial identity that crops up often in various areas is the difference of squares identity:
A2-b2=(a-b) (a+b)
We meet this in the context of rationalising denominators.
Answer:
27 4th root (x^3)
Step-by-step explanation:
(81x) ^ 3/4
We know (ab) ^c = a^c b^c
81 ^ (3/4) * x^3/4
We can rewrite 81 as 3^4
(3^4)^(3/4) * x^3/4
We know that a^b^c = a^ (b*c)
3^(4*3/4) * x^3/4
3^(3) * x^3/4
27 * x^3/4
27 4th root (x^3)
Answer:
C
Step-by-step explanation:
f is neither even nor odd
True the variable in the expression is y
