Sequences
1. 14, 19, 24, 29,…
a. Geometric, 34,39,44
b. Arithmetic,32,36,41
c. Arithmetic, 34, 39, 44 **
d. The sequence is neither
2. -4, 8, -16, 32, . . . .
a. Arithmetic , 64, 128, 256
b. Geometric, -64 , 128, -256 **
c. Geometric, -48, 64, -80
d. Neither
3. 81, 27, 9, 3,. . . .
a. Arithmetic, 0, -3, -6
b. Geometric, 0, -3, -6
c. Geometric, 1, 1/3, 1/9
d. Neither **
#3 is geometric
with a common ratio of 1/3
your other answers are correct
please help me someone
1. The sequence 14, 19, 24, 29,... is an arithmetic sequence because the difference between consecutive terms is constant. The common difference is 5.
The correct answer is c. Arithmetic, 34, 39, 44.
2. The sequence -4, 8, -16, 32,... is a geometric sequence because each term is obtained by multiplying the previous term by a common ratio. The common ratio is -2.
The correct answer is b. Geometric, -64, 128, -256.
3. The sequence 81, 27, 9, 3,... does not follow any obvious pattern or constant difference or ratio. Therefore, it is neither an arithmetic nor a geometric sequence.
The correct answer is d. Neither.
To determine the type of sequence for each question, we need to analyze the pattern in the given numbers.
1. The sequence is: 14, 19, 24, 29,...
By observing the numbers, we can see that each term is obtained by adding 5 to the previous term. So, this is an arithmetic sequence.
Answer: b. Arithmetic, 32, 36, 41
2. The sequence is: -4, 8, -16, 32, ...
In this sequence, each term is obtained by multiplying the previous term by -2. So, this is a geometric sequence.
Answer: b. Geometric, -64, 128, -256
3. The sequence is: 81, 27, 9, 3, ...
Looking at the numbers, we can see that each term is obtained by dividing the previous term by 3. So, this is a geometric sequence.
Answer: c. Geometric, 1, 1/3, 1/9
In summary:
1. The sequence is arithmetic.
2. The sequence is geometric.
3. The sequence is geometric.