Question

What is the common ratio for the geometric sequence 35, 7, 7/5, 7/25?

A) 1/5
B) 1/7
C) 1/35
D) 5/7

Answer 1

The common ratio for the given geometric sequence 35, 7, 7/5, 7/25 is 1/5.

Step-by-step explanation:

The common ratio for a geometric sequence can be found by dividing any term in the sequence by its preceding term. Let's find the common ratio for the given geometric sequence:

To find the common ratio between the first and second terms, divide the second term 7 by the first term 35. This gives us a ratio of 1/5.

To find the common ratio between the second and third terms, divide the third term 7/5 by the second term 7. This also gives us a ratio of 1/5.

To find the common ratio between the third and fourth terms, divide the fourth term 7/25 by the third term 7/5. Again, we get a ratio of 1/5.

Since the common ratio is the same for all consecutive terms, we can conclude that the common ratio for the given geometric sequence 35, 7, 7/5, 7/25 is 1/5.

Answer 2

The common ratio for the given geometric sequence is 1/5.

Step-by-step explanation:

The common ratio for a geometric sequence can be found by dividing each term by the term that comes before it. In this case, we'll divide each term by the previous term to find the common ratio.

First, let's divide 7 by 35: 7 ÷ 35 = 1/5

Next, divide 7/5 by 7: (7/5) ÷ 7 = 1/5

Finally, divide 7/25 by 7/5: (7/25) ÷ (7/5) = 1/5

Since each division result is always 1/5, the common ratio for the given geometric sequence is 1/5.