Question

For the geometric sequence, find the two missing terms between -7, ?, ?, 1. Which of the following options is correct?

A) 343, -1
B) 343
C) 05
D) 07 - 1/4
E) 0 1, -1/4
F) None of these are correct.

Answer 1

The two missing terms in the geometric sequence between -7 and 1 with a common ratio of -1/3 are 7/3 and -7/9, and thus, the correct answer is F) None of these are correct.

Step-by-step explanation:

To find the two missing terms in the geometric sequence between -7 and 1, we need to determine the common ratio (r). Since there are 3 intervals to go from -7 to 1, we cube root 1 divided by -7.

The cube root of -1/7 is -1/3, so r = -1/3. Now we can find the two missing terms by multiplying the preceding term by r:

• Second term: -7 × (-1/3) = 7/3
• Third term: (7/3) × (-1/3) = -7/9

The two missing terms are 7/3 and -7/9, so the correct answer is F) None of these are correct.