neither
No.
It is 32768.
8 + 4n
The sequence in the question is NOT an arithmetic sequence. In an arithmetic sequence the difference between each term and its predecessor (the term immediately before) is a constant - including the sign. It is not enough for the difference between two successive terms (in any order) to remain constant. In the above sequence, the difference is -7 for the first two intervals and then changes to +7.
the series can be 1,-4,16,-64
neither
It is a geometric sequence.
The numbers 2, 4, 7, 11 are neither strictly arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. Here, the differences between terms are 2, 3, and 4, suggesting a pattern of increasing increments. Following this pattern, the next two terms would be 16 (11 + 5) and 22 (16 + 6).
The sequence 2, 4, 8, 16 is a geometric sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant factor. In this case, each term is multiplied by 2 (2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16).
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
No.
-161.
The differences are not the same so the sequence is not arithmetic. The sequence starts with a zero, so it cannot be geometric, or an exponential (power) sequence. The quartic: (2n4 - 19n3 + 64n2 - 83n + 36)/6 fits the 5 points. That gives the next term as 55.
It is 32768.
4
Neither, it is a power sequence. t(n) = n4 so t(6) would be 64 = 1296
The 19th term of the sequence is 16.