1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $4^{\text {th }}, 10^{\text {th }}$ and $16^{\text {th }}$ terms of a G.P. are $x, y$ and $z$ respectively, then

A
$z=\sqrt{x y}$
B
$y=\sqrt{x z}$
C
$x=\sqrt{y z}$
D
$y=\frac{x+z}{2}$
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

If $S_n$ stands for sum to $n$-terms of a GP with $a$ as the first term and $r$ as the common ratio, then $S_n: S_{2 n}$ is

A
$r^n+1$
B
$\frac{1}{r^n+1}$
C
$r^n-1$
D
$\frac{1}{r^n-1}$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$p\left(\frac{1}{q}+\frac{1}{r}\right), q\left(\frac{1}{r}+\frac{1}{p}\right), r\left(\frac{1}{p}+\frac{1}{q}\right)$$ are in $$\mathrm{AP}$$, then $$p, q, r$$

A
are in GP
B
are not in GP
C
are in AP
D
are not in AP
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

$$n$$th term of the series $$1+\frac{3}{7}+\frac{5}{7^2}+\frac{1}{7^2}+\ldots$$ is

A
$$\frac{2 n+1}{7^n}$$
B
$$\frac{2 n-1}{7^n}$$
C
$$\frac{2 n+1}{7^n-1}$$
D
$$\frac{2 n-1}{7^n-1}$$
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