Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 6251 | Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 100 } \right) $. | 1 |
| 6252 | Find $ a_{ 199 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 100 } \right) $. | 1 |
| 6253 | Find $ a_{ 101 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 100 } \right) $. | 1 |
| 6254 | Find common difference $ d $ of arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ a_{ 5 } = -10 $. | 1 |
| 6255 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 116 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 6256 | Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = 116 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 6257 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = -8 $. | 1 |
| 6258 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 40000 ~~ \text{and} ~~ d = 2000 $. | 1 |
| 6259 | $$ a_1 = 1646 ~,~ d = -15 ~,~ a_n = 7 ~,~ n = ? $$ | 1 |
| 6260 | $$ a_{ 29 } = 106 ~~,~~ S_{ 37 } = 2072 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 6261 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = -34 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6262 | Find $ S_{ 501 } $ ( sum of first $ 501 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 6263 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 9 $. | 1 |
| 6264 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 9 $. | 1 |
| 6265 | $$ a_1 = -4 ~,~ d = 9 ~,~ a_n = 5 ~,~ n = ? $$ | 1 |
| 6266 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 2 } ~~ \text{and} ~~ d = \frac{ 9 }{ 14 } $. | 1 |
| 6267 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 0 $. | 1 |
| 6268 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -\frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 6269 | $$ a_1 = \frac{ 2 }{ 3 } ~,~ d = 1 ~,~ a_n = \frac{ 41 }{ 3 } ~,~ n = ? $$ | 1 |
| 6270 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 6271 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 6272 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 6273 | Find $ S_{ 130 } $ ( sum of first $ 130 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 6274 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 3 $. | 1 |
| 6275 | Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 6 $. | 1 |
| 6276 | Find $ a_{ 77 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 6 $. | 1 |
| 6277 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 47 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 6278 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 47 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 6279 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 101 ~~ \text{and} ~~ d = 9 $. | 1 |
| 6280 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = \frac{ 4 }{ 5 } $. | 1 |
| 6281 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 10000 ~~ \text{and} ~~ d = -500 $. | 1 |
| 6282 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 2 $. | 1 |
| 6283 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 2 $. | 1 |
| 6284 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 1 |
| 6285 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6286 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6287 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6288 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 10 $. | 1 |
| 6289 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $. | 1 |
| 6290 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 6 $. | 1 |
| 6291 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $. | 1 |
| 6292 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1717 }{ 50 } $. | 1 |
| 6293 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 0 $. | 1 |
| 6294 | Find common difference $ d $ of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ a_{ 30 } = 1000 $. | 1 |
| 6295 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $. | 1 |
| 6296 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $. | 1 |
| 6297 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 20 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 6298 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 20 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 6299 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 20 } ~~ \text{and} ~~ d = \frac{ 1 }{ 20 } $. | 1 |
| 6300 | Find common difference $ d $ of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ a_{ 30 } = 1000 $. | 1 |
