1
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
$$2^{18}$$
2
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
3
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
$$\frac{8}{5}$$
4
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

$$\text { The } 20^{\text {th }} \text { term from the end of the progression } 20,19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots,-129 \frac{1}{4} \text { is : }$$

A
$$-115$$
B
$$-100$$
C
$$-110$$
D
$$-118$$
EXAM MAP
Medical
NEET