1
COMEDK 2024 Evening Shift
+1
-0

Consider an infinite geometric series with first term '$$a$$' and common ratio '$$r$$'. If the sum of infinite geometric series is 4 and the second term is $$\frac{3}{4}$$ then

A
$$a=1 \quad r=-\frac{3}{4}$$
B
$$a=3 \quad r=\frac{1}{4}$$
C
$$a=-3 \quad r=-\frac{1}{4}$$
D
$$a=-1 \quad r=\frac{3}{4}$$
2
COMEDK 2024 Evening Shift
+1
-0

If two positive numbers are in the ratio $$3+2 \sqrt{2}: 3-2 \sqrt{2}$$, then the ratio between their A.M (arithmetic mean) and G.M (geometric mean) is

A
$$3: 4$$
B
$$6: 1$$
C
$$3: 2$$
D
$$3: 1$$
3
COMEDK 2024 Evening Shift
+1
-0

A number consists of three digits in geometric progression. The sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of left hand and middle digits is two third of the sum of the middle and right hand digits. Then the sum of digits of number is

A
$$\frac{1}{4}$$
B
19
C
469
D
109
4
COMEDK 2024 Morning Shift
+1
-0

A geometric progression consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio of the G.P is

A
3
B
2
C
5
D
4
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