Assuming the recursive definition is tn = 2*tn-1
t1 = 3
t2 = 2*t1 = 2*3 = 6
t3 = 2*t2 = 2*6 = 12
t4 = 2*t3 = 2*12 = 24
They are 14, 42, 126, 378 and 1134.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
FALSE (Apex)
2
6
Yes, that's what a geometric sequence is about.
A geometric sequence with 5 terms can alternate by having positive and negative terms. For example, one such sequence could be (2, -6, 18, -54, 162). Here, the first term is (2) and the common ratio is (-3), leading to alternating signs while maintaining the geometric property.
They are 14, 42, 126, 378 and 1134.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
a, ar, ar^2 and ar^3 where a and r are constants.
yes
To determine if a sequence is geometric, check if the ratio between consecutive terms is constant. You can calculate the ratio by dividing each term by the preceding term. If this ratio remains the same for all pairs of consecutive terms, then the sequence is geometric. Additionally, a geometric sequence can be verified using a geometric sequence calculator, which will confirm the common ratio and provide further analysis.
A static sequence: for example a geometric sequence with common ratio = 1.
No, they do not. If the first term is negative, they always decrease.
The term "0.21525" itself does not indicate whether it is geometric or arithmetic, as it is simply a numerical value. To determine if a sequence or series is geometric or arithmetic, we need to examine the relationship between its terms. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. If you provide a series of terms, I can help identify its nature.
FALSE (Apex)
2