Question

Which describes the difference between the two sequences?

First Sequence: 3, 6, 9, 12, ...
Second Sequence: 3, 12, 48, 192, ...
The first sequence is geometric because there is a common difference of 3. The second sequence is arithmetic
because there is a common ratio of 4.
O The first sequence is arithmetic because there is a common difference of 3. The second sequence is geometric
because there is a common ratio of 4.
The first sequence is arithmetic because there is a common ratio of 3.
The second sequence is geometric because there is a common difference of 4.
O The first sequence is arithmetic because there is a common difference of 4. The second sequence is geometric
because there is a common ratio of 3.

Answer 1

the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

Explanation:

In this question table is given as

n 1 2 3 4 5

f(n) 48 -96 192 -385 768

We have to find out if the sequence is arithmetic or geometric.

For Arithmetic sequence :

Difference should be common in each term of fees.

common difference = f(2) - f(1)

= -96 -48 = -144

similarly = f(3) - f (2) = 192 + 96 = 288

Here, ≠ so the sequence is not an arithmetic sequence.

For Geometric sequence :

Ratio should be common in each term of f(n)

Common ratio =

Therefore, the sequence is geometric sequence with common ratio (-2).

Option : D is correct.