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.
X =(-8+√464)/-8=1-1/2√<span> 29 </span><span>= -1.693</span>
Answer:
-39
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...
a33 = 9 -1.5(33 -1) = 9 -48 = -39
The 33rd term is -39.
Answer:Subtract
from both sides of the equation
from both sides of the equation
Multiply all terms by the same value to eliminate fraction denominators
