**Q1: **

The first term of a geometric sequence is 2, and its third term is 7. If the common ratio is negative, what is the second term?

- A
- Bcannot be determined
- C7
- D
- E

**Q2: **

Find , given the sum of the first three terms of a geometric sequence is 1 002 and the sum of , and is .

**Q3: **

Find , given the sum of the first three terms of a geometric sequence is 78 and the sum of , and is .

**Q4: **

Find the order of the term in the geometric sequence .

**Q5: **

Find the order of the term in the geometric sequence .

**Q6: **

Find the second and third terms of a geometric sequence given , and all terms are positive.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q7: **

Find given three consecutive terms in a geometric sequence are .

- A
- B
- C
- D

**Q8: **

The numbers 38 and 4 864 are terms of a geometric sequence. The ratio of the sum of the two terms after 38 in the sequence to the sum of the two terms before 4 864 in the sequence is . How many terms lie between 38 and 4 864 in the sequence?

**Q9: **

In a geometric sequence and for a certain , we have , , and . Find the first 3 terms of the sequence and what is.

- A , and
- B , and
- C , and
- D , and
- E , and

**Q10: **

In a geometric sequence and for a certain , we have , , and . Find the first 3 terms of the sequence and what is.

- A , and
- B , and
- C , and
- D , and
- E , and

**Q11: **

The table below represents the salary of an employee in three consecutive years in LE. The salary can be described by a geometric sequence. Find the salary of the employee in the fourth and fifth year, expressed by and respectively.

Year | First | Second | Third | Fourth | Fifth |
---|---|---|---|---|---|

Salary in LE | 673 | 2 692 | 10 768 |

- A ,
- B ,
- C ,
- D ,

**Q12: **

Find the value of given the of the geometric sequence is three times greater than the of the geometric sequence .

**Q13: **

The sum of the first and second terms of a geometric sequence is 54 and . Find the possible values of .

- A144 or 432
- B9 or 27
- C or
- D72 or

**Q14: **

The sum of the first and second terms of a geometric sequence is 45 and . Find the possible values of .

- A240 or
- B or
- C or
- D120 or 360

**Q15: **

Find the order of the term whose value is 4 374 in the geometric sequence .

**Q16: **

Find the order and value of the first term whose value is less than 0.0049 in the geometric sequence .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q17: **

Find the order and value of the first term whose value is less than 0.0046 in the geometric sequence .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q18: **

Find the number of terms of the geometric sequence .

**Q19: **

Find the number of terms of the geometric sequence .

**Q20: **

Find the second term of a geometric sequence given , and all terms are positive.

**Q21: **

Find the fourth term of a geometric sequence given , and all terms are positive.

**Q22: **

Find the geometric sequence given the first term is 3 and the fourth term is 81. Then find the order of the term whose value is 729.

- A , 5
- B , 5
- C , 6
- D , 6
- E , 6

**Q23: **

Find the geometric sequence given the first term is 72 and the fourth term is 9. Then find the order of the term whose value is .

- A , 8
- B , 8
- C , 9
- D , 9
- E , 9

**Q24: **

Find the order of the first term whose value is greater than 500 in the geometric sequence .

- A ,
- B ,
- C ,
- D ,
- E ,