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Mathematics MCQs

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Mathematics MCQs With Answers

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Mathematics Algebra
y varies directly as x. If y=20 when x=5, what is y when x=7?
A. 32
B. 28
C. 29
D. 24
Correct Answer: B
k=4; y=4×7=28.
Mathematics Algebra
y varies directly as x. If y=12 when x=4, what is y when x=6?
A. 18
B. 21
C. 15
D. 19
Correct Answer: A
k=3; y=3×6=18.
Mathematics Algebra
y varies directly as x. If y=6 when x=3, what is y when x=5?
A. 8
B. 11
C. 12
D. 10
Correct Answer: D
k=2; y=2×5=10.
Mathematics Algebra
Find the sum of the first 8 terms of a geometric sequence with first term 2 and common ratio 2.
A. 511
B. 510
C. 512
D. 508
Correct Answer: B
Sₙ=2(2⁸-1)=510.
Mathematics Algebra
Find the sum of the first 7 terms of a geometric sequence with first term 1 and common ratio 2.
A. 128
B. 127
C. 126
D. 129
Correct Answer: B
Sₙ=1(2⁷-1)=127.
Mathematics Algebra
Find the sum of the first 6 terms of a geometric sequence with first term 4 and common ratio 2.
A. 252
B. 256
C. 254
D. 248
Correct Answer: A
Sₙ=4(2⁶-1)=252.
Mathematics Algebra
Find the sum of the first 5 terms of a geometric sequence with first term 3 and common ratio 2.
A. 90
B. 96
C. 93
D. 95
Correct Answer: C
Sₙ=3(2⁵-1)=93.
Mathematics Algebra
Find the sum of the first 4 terms of a geometric sequence with first term 2 and common ratio 2.
A. 32
B. 28
C. 31
D. 30
Correct Answer: D
Sₙ=2(2⁴-1)=30.
Mathematics Algebra
Find the sum of the first 8 terms of a geometric sequence with first term 1 and common ratio 2.
A. 255
B. 257
C. 254
D. 256
Correct Answer: A
Sₙ=1(2⁸-1)=255.
Mathematics Algebra
Find the sum of the first 7 terms of a geometric sequence with first term 4 and common ratio 2.
A. 512
B. 504
C. 508
D. 510
Correct Answer: C
Sₙ=4(2⁷-1)=508.
Mathematics Algebra
Find the sum of the first 6 terms of a geometric sequence with first term 3 and common ratio 2.
A. 189
B. 191
C. 192
D. 186
Correct Answer: A
Sₙ=3(2⁶-1)=189.
Mathematics Algebra
Find the sum of the first 5 terms of a geometric sequence with first term 2 and common ratio 2.
A. 60
B. 64
C. 62
D. 63
Correct Answer: C
Sₙ=2(2⁵-1)=62.
Mathematics Algebra
Find the sum of the first 4 terms of a geometric sequence with first term 1 and common ratio 2.
A. 15
B. 14
C. 17
D. 16
Correct Answer: A
Sₙ=1(2⁴-1)=15.
Mathematics Algebra
A geometric sequence has first term 3 and common ratio 2. What is its 8th term?
A. 385
B. 386
C. 384
D. 382
Correct Answer: C
aₙ=3×2⁷=384.
Mathematics Algebra
A geometric sequence has first term 2 and common ratio 4. What is its 7th term?
A. 8188
B. 8196
C. 8192
D. 8193
Correct Answer: C
aₙ=2×4⁶=8192.
Mathematics Algebra
A geometric sequence has first term 5 and common ratio 3. What is its 6th term?
A. 1216
B. 1212
C. 1218
D. 1215
Correct Answer: D
aₙ=5×3⁵=1215.
Mathematics Algebra
A geometric sequence has first term 4 and common ratio 2. What is its 5th term?
A. 66
B. 62
C. 65
D. 64
Correct Answer: D
aₙ=4×2⁴=64.
Mathematics Algebra
A geometric sequence has first term 3 and common ratio 4. What is its 4th term?
A. 192
B. 188
C. 196
D. 193
Correct Answer: A
aₙ=3×4³=192.
Mathematics Algebra
A geometric sequence has first term 2 and common ratio 3. What is its 8th term?
A. 4375
B. 4374
C. 4371
D. 4377
Correct Answer: B
aₙ=2×3⁷=4374.
Mathematics Algebra
A geometric sequence has first term 5 and common ratio 2. What is its 7th term?
A. 318
B. 322
C. 321
D. 320
Correct Answer: D
aₙ=5×2⁶=320.
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