CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - Mathematics
Algebra
A geometric sequence has first term 4 and common ratio 4. What is its 6th term?
A. 4097
B. 4092
C. 4100
D. 4096
Correct Answer: D
aₙ=4×4⁵=4096.
CSS - PMS - CCE - PCS - Mathematics
Algebra
A geometric sequence has first term 3 and common ratio 3. What is its 5th term?
A. 244
B. 243
C. 240
D. 246
Correct Answer: B
aₙ=3×3⁴=243.
CSS - PMS - CCE - PCS - Mathematics
Algebra
A geometric sequence has first term 2 and common ratio 2. What is its 4th term?
A. 17
B. 18
C. 16
D. 14
Correct Answer: C
aₙ=2×2³=16.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Find the sum of the first 7 terms of the arithmetic sequence with first term 12 and common difference 6.
A. 224
B. 210
C. 203
D. 217
Correct Answer: B
S_n=n/2[2a+(n-1)d]=210.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Find the sum of the first 6 terms of the arithmetic sequence with first term 11 and common difference 5.
A. 135
B. 147
C. 141
D. 153
Correct Answer: C
S_n=n/2[2a+(n-1)d]=141.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Find the sum of the first 13 terms of the arithmetic sequence with first term 10 and common difference 4.
A. 468
B. 429
C. 442
D. 455
Correct Answer: C
S_n=n/2[2a+(n-1)d]=442.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Find the sum of the first 12 terms of the arithmetic sequence with first term 9 and common difference 3.
A. 306
B. 294
C. 330
D. 318
Correct Answer: A
S_n=n/2[2a+(n-1)d]=306.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Find the sum of the first 11 terms of the arithmetic sequence with first term 8 and common difference 2.
A. 198
B. 209
C. 187
D. 220
Correct Answer: A
S_n=n/2[2a+(n-1)d]=198.