Math Exercises: Geometric Sequence 
Find out whether the given sequence is a geometric sequence. If so, compute the first term and the quotient of the geometric sequence and determine whether the sequence is increasing or decreasing :
Find the terms a_{3}, a_{6} and a_{8} of the geometric sequence if you know :
Find the sum s_{3}, s_{5} and s_{10} of the geometric sequence if you know :
The finite geometric sequence has 10 terms. The sum of all terms with the even index is 682 and the sum of all terms with the odd index is 1,364. Determine the first term and the quotient of the sequence.
The sum of the first and the third term of a geometric sequence is 15. The sum of the first three terms of this sequence is 21. Determine the first term and the quotient of this sequence.
Four numbers form a geometric sequence. The sum of the outer terms of this sequence is 21 and the sum of the inner terms is 6. Find the terms of the sequence.
The sum of three consecutive terms of the geometric sequence is 13. The quotient of the third and the first term is 9. Find the terms of the sequence.
Dimensions of a cuboid are consecutive terms of a geometric sequence. The volume of the cuboid is 216 cm^{3} and the surface of the cuboid is 312 cm^{2}. Determine the dimensions of the cuboid.
If we sequentially subtract the same number from the numbers 5, 11, 23, we get the second, third and fourth term of a geometric sequence. What is the sum of the first six terms of this sequence ?
Between the numbers 4 and 60 we put two numbers so that the first three consecutive numbers form a geometric sequence and the last three consecutive numbers form an arithmetic sequence. What numbers did we put ?
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