Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 10251 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 4 $. | 1 |
| 10252 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 10253 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 10254 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 7 $. | 1 |
| 10255 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 7 $. | 1 |
| 10256 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 0 $. | 1 |
| 10257 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = -1113 ~~ \text{and} ~~ d = 19 $. | 1 |
| 10258 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -8100 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 10 } \right) $. | 1 |
| 10259 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 1100 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10260 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 1100 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10261 | Find $ a_{ 500 } $ of an arithmetic progression if $ a_1 = 100000 ~~ \text{and} ~~ d = 100000 $. | 1 |
| 10262 | Find $ a_{ 91 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 1 |
| 10263 | Find $ S_{ 91 } $ ( sum of first $ 91 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 1 |
| 10264 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = \left( -20 \right) $. | 1 |
| 10265 | Find $ S_{ 59 } $ ( sum of first $ 59 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10266 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10267 | Find common difference $ d $ of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ a_{ 110 } = 432 $. | 1 |
| 10268 | Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = 724 ~~ \text{and} ~~ d = 11 $. | 1 |
| 10269 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 10270 | $$ a_1 = 4 ~,~ d = 1 ~,~ a_n = 5 ~,~ n = ? $$ | 1 |
| 10271 | $$ a_1 = 4 ~,~ d = 2 ~,~ S_n = 8 ~,~ n = ? $$ | 1 |
| 10272 | $$ a_1 = 4 ~,~ d = 2 ~,~ a_n = 6 ~,~ n = ? $$ | 1 |
| 10273 | $$ a_1 = 15 ~,~ d = 3 ~,~ a_n = 21 ~,~ n = ? $$ | 1 |
| 10274 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 10275 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = 6 $. | 1 |
| 10276 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10277 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 200 $. | 1 |
| 10278 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 3600 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10279 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 3600 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10280 | Find $ S_{ 63 } $ ( sum of first $ 63 $ terms ) of arithmetic progression if $ a_1 = 3600 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10281 | Find $ S_{ 66 } $ ( sum of first $ 66 $ terms ) of arithmetic progression if $ a_1 = 3600 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10282 | Find $ S_{ 65 } $ ( sum of first $ 65 $ terms ) of arithmetic progression if $ a_1 = 3600 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10283 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 14300 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10284 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 14300 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10285 | Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 171 ~~ \text{and} ~~ d = 256 $. | 1 |
| 10286 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 0 $. | 1 |
| 10287 | Find $ a_{ 460 } $ of an arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10288 | Find $ S_{ 36 } $ ( sum of first $ 36 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 1 |
| 10289 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 386 ~~ \text{and} ~~ d = 72 $. | 1 |
| 10290 | Find $ a_{ 59 } $ of an arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 7 $. | 1 |
| 10291 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 23 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 10292 | Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 12500 ~~ \text{and} ~~ d = 750 $. | 1 |
| 10293 | Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 12500 ~~ \text{and} ~~ d = 750 $. | 1 |
| 10294 | Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 71 ~~ \text{and} ~~ d = 6 $. | 1 |
| 10295 | Find $ S_{ 25000 } $ ( sum of first $ 25000 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10296 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 2000 ~~ \text{and} ~~ d = 2000 $. | 1 |
| 10297 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10298 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = \left( -80 \right) $. | 1 |
| 10299 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = -80 $. | 1 |
| 10300 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = \left( -80 \right) $. | 1 |
