1
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

If $$\log _e \mathrm{a}, \log _e \mathrm{~b}, \log _e \mathrm{c}$$ are in an A.P. and $$\log _e \mathrm{a}-\log _e 2 \mathrm{~b}, \log _e 2 \mathrm{~b}-\log _e 3 \mathrm{c}, \log _e 3 \mathrm{c} -\log _e$$ a are also in an A.P, then $$a: b: c$$ is equal to

A
$$6: 3: 2$$
B
$$9: 6: 4$$
C
$$25: 10: 4$$
D
$$16: 4: 1$$
2
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

If each term of a geometric progression $$a_1, a_2, a_3, \ldots$$ with $$a_1=\frac{1}{8}$$ and $$a_2 \neq a_1$$, is the arithmetic mean of the next two terms and $$S_n=a_1+a_2+\ldots . .+a_n$$, then $$S_{20}-S_{18}$$ is equal to

A
$$-2^{15}$$
B
$$2^{15}$$
C
$$-2^{18}$$
D
$$2^{18}$$
3
JEE Main 2024 (Online) 29th January Morning Shift
+4
-1

If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal to

A
7
B
6
C
5
D
4
4
JEE Main 2024 (Online) 29th January Morning Shift
+4
-1

In an A.P., the sixth term $$a_6=2$$. If the product $$a_1 a_4 a_5$$ is the greatest, then the common difference of the A.P. is equal to

A
$$\frac{2}{3}$$
B
$$\frac{5}{8}$$
C
$$\frac{3}{2}$$
D
$$\frac{8}{5}$$
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