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What is the common difference in the arithmetic progression (AP) 5, 8, 11, 14, …?
a) 2
b) 3
c) 4
d) 5
The sum of the first 10 terms of an arithmetic progression where the first term is 3 and the common difference is 5 is:
a) 450
b) 480
c) 500
d) 520
In a geometric progression (GP) where the first term is 2 and the common ratio is 3, what is the 4th term?
a) 54
b) 48
c) 81
d) 72
What is the sum of the first 5 terms of the geometric progression 4, 8, 16, 32, …?
a) 124
b) 120
c) 136
d) 140
In an arithmetic progression, if the 7th term is 20 and the 12th term is 30, what is the common difference?
a) 2
b) 3
c) 4
d) 5
The 5th term of an arithmetic progression is 23 and the common difference is 4. What is the first term?
a) 7
b) 11
c) 15
d) 19
What is the common ratio of the geometric progression 81, 27, 9, 3, …?
a) 1/3
b) 1/2
c) 2
d) 3
If the sum of the first 8 terms of an arithmetic progression is 216 and the first term is 12, what is the common difference?
a) 4
b) 6
c) 8
d) 10
The 3rd term of a geometric progression is 15 and the 5th term is 60. What is the common ratio?
a) 2
b) 3
c) 4
d) 5
In an arithmetic progression, if the 10th term is 50 and the 20th term is 80, what is the first term?
a) 10
b) 20
c) 30
d) 40
If the first term of a geometric progression is 5 and the common ratio is 2, what is the 6th term?
a) 160
b) 320
c) 640
d) 1280
What is the sum of the first 6 terms of the arithmetic progression 7, 12, 17, 22, …?
a) 102
b) 112
c) 122
d) 132
If the sum of an arithmetic progression is 156 and the first term is 6, and the common difference is 3, how many terms are there?
a) 10
b) 12
c) 15
d) 18
What is the sum of the first 4 terms of the geometric progression 3, 6, 12, 24, …?
a) 42
b) 45
c) 48
d) 51
In an arithmetic progression, if the first term is 8 and the 4th term is 20, what is the common difference?
a) 2
b) 3
c) 4
d) 5
What is the 7th term of the geometric progression 2, 6, 18, 54, …?
a) 486
b) 648
c) 729
d) 810
The sum of the first n terms of an arithmetic progression is given by
𝑆
𝑛
=
5
𝑛
+
2
𝑛
2
S
n
=5n+2n
2
. What is the common difference?
a) 4
b) 6
c) 8
d) 10
In a geometric progression, if the first term is 4 and the common ratio is 1/2, what is the 5th term?
a) 0.5
b) 0.25
c) 0.125
d) 0.0625
The sum of the first 9 terms of an arithmetic progression is 225. If the common difference is 5, what is the first term?
a) 10
b) 15
c) 20
d) 25
The 4th term of a geometric progression is 48 and the common ratio is 2. What is the 2nd term?
a) 12
b) 16
c) 24
d) 32
If the common difference of an arithmetic progression is 4 and the 5th term is 28, what is the 2nd term?
a) 12
b) 16
c) 20
d) 24
What is the sum of the first 7 terms of the geometric progression 2, 6, 18, 54, …?
a) 494
b) 500
c) 506
d) 512
In an arithmetic progression, if the 8th term is 40 and the common difference is 5, what is the first term?
a) 10
b) 15
c) 20
d) 25
If the first term of a geometric progression is 3 and the common ratio is 4, what is the 3rd term?
a) 48
b) 36
c) 27
d) 24
The sum of the first 5 terms of an arithmetic progression is 75. If the common difference is 10, what is the first term?
a) 5
b) 10
c) 15
d) 20
If the cost price of an item in an arithmetic progression is 20, 25, 30, … and the selling price is 60, what is the profit percentage?
a) 50%
b) 60%
c) 75%
d) 80%
The 6th term of a geometric progression is 128 and the common ratio is 2. What is the 3rd term?
a) 16
b) 32
c) 64
d) 128
In an arithmetic progression, if the 3rd term is 14 and the common difference is 4, what is the 7th term?
a) 26
b) 30
c) 34
d) 38
What is the sum of the first 10 terms of the arithmetic progression 5, 10, 15, 20, …?
a) 350
b) 400
c) 450
d) 500
If the 4th term of a geometric progression is 20 and the common ratio is 2, what is the first term?
a) 2.5
b) 5
c) 10
d) 15
What is the 5th term of the arithmetic progression 9, 15, 21, 27, …?
a) 39
b) 42
c) 45
d) 48
In a geometric progression with first term 4 and common ratio 3, the 7th term is:
a) 972
b) 1458
c) 729
d) 2187
If the sum of the first 5 terms of an arithmetic progression is 60 and the common difference is 5, what is the 1st term?
a) 8
b) 10
c) 12
d) 14
In a geometric progression where the first term is 2 and the common ratio is 1/3, what is the 4th term?
a) 0.037
b) 0.027
c) 0.036
d) 0.018
The sum of the first 4 terms of a geometric progression is 40. If the first term is 4 and the common ratio is 3, what is the 4th term?
a) 108
b) 81
c) 72
d) 96
If the 2nd term of an arithmetic progression is 8 and the 5th term is 20, what is the common difference?
a) 4
b) 5
c) 6
d) 7
In a geometric progression where the first term is 9 and the common ratio is 1/3, what is the 6th term?
a) 1
b) 0.5
c) 0.25
d) 0.75
The sum of the first 12 terms of an arithmetic progression is 780. If the first term is 30 and the common difference is 15, what is the 12th term?
a) 195
b) 210
c) 225
d) 240
If the common ratio of a geometric progression is 4 and the 3rd term is 64, what is the 1st term?
a) 1
b) 4
c) 16
d) 32
In an arithmetic progression, if the 6th term is 27 and the 15th term is 54, what is the common difference?
a) 2
b) 3
c) 4
d) 5
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