COMEDK 2026 Afternoon Shift | Sequences and Series Question 2 | Mathematics

Every term of a geometric progression is positive, and every term is the sum of the two preceding terms. Then the common ratio of the geometric progression is:

$\frac{1+\sqrt{5}}{2}$

$\frac{\sqrt{5}-1}{2}$

$\frac{1-\sqrt{5}}{2}$

COMEDK 2026 Morning Shift

MCQ (Single Correct Answer)

-0

The product of three numbers in geometric progression is 8 and the sum of the product of the numbers taken in pairs is 14 . Find the numbers.

$$ 4,2,1 \text { and } 1,2,4 $$

$\frac{1}{4}, \frac{1}{2}, 1$ and $1, \frac{1}{2}, \frac{1}{4}$

$4 \sqrt{2}, \sqrt{2}, 1$ and $1, \sqrt{2}, 4 \sqrt{2}$

$-4,-2,1$ and $1,-2,-4$

COMEDK 2026 Morning Shift

MCQ (Single Correct Answer)

-0

Let ' $\boldsymbol{a}$ ' and ' $\mathbf{b}$ ' be two numbers where $\boldsymbol{a}<\boldsymbol{b}$. The geometric mean of these numbers exceeds the smaller number by 12 and the arithmetic mean is smaller than the larger number by 24 . Then the value of $|\boldsymbol{b}-\boldsymbol{a}|$ is:

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

A geometric progression consists of an even number of terms. If the sum of all the terms is five times the sum of the terms occupying the odd places, then the common ratio of the geometric progression is

$r=4$

$r=3$

$r=6$

$r=2$

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