Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7251 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7252 | Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7253 | $$ a_1 = 1 ~,~ d = 1 ~,~ a_n = 37 ~,~ n = ? $$ | 1 |
| 7254 | $$ a_1 = 1 ~,~ a_n = 1 ~,~ S_n = 2 ~,~ n = ? $$ | 1 |
| 7255 | $$ a_1 = 2 ~,~ a_n = 2 ~,~ S_n = 7 ~,~ n = ? $$ | 1 |
| 7256 | $$ a_1 = 2 ~,~ d = 3 ~,~ S_n = 20 ~,~ n = ? $$ | 1 |
| 7257 | $$ a_1 = 2 ~,~ d = 3 ~,~ a_n = 20 ~,~ n = ? $$ | 1 |
| 7258 | $$ a_1 = 2 ~,~ d = 3 ~,~ a_n = 59 ~,~ n = ? $$ | 1 |
| 7259 | $$ a_1 = 2 ~,~ d = 3 ~,~ S_n = 59 ~,~ n = ? $$ | 1 |
| 7260 | Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7261 | Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7262 | $$ a_1 = 3 ~,~ d = 3 ~,~ S_n = 315 ~,~ n = ? $$ | 1 |
| 7263 | Find common difference $ d $ of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ a_{ 17 } = 17 $. | 1 |
| 7264 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 21 $. | 1 |
| 7265 | Find $ a_{ 69 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 21 $. | 1 |
| 7266 | Find $ S_{ 69 } $ ( sum of first $ 69 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 21 $. | 1 |
| 7267 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 4 } ~~ \text{and} ~~ d = \frac{ 5 }{ 48 } $. | 1 |
| 7268 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 1 }{ 4 } ~~ \text{and} ~~ d = \frac{ 5 }{ 48 } $. | 1 |
| 7269 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -\frac{ 1 }{ 4 } ~~ \text{and} ~~ d = \frac{ 5 }{ 48 } $. | 1 |
| 7270 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 12 $. | 1 |
| 7271 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = -4 $. | 1 |
| 7272 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7273 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = -20 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7274 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 7275 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -\frac{ 5 }{ 3 } ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $. | 1 |
| 7276 | Find $ a_{ 113 } $ of an arithmetic progression if $ a_1 = -\frac{ 5 }{ 3 } ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $. | 1 |
| 7277 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 106 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 7278 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 106 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 7279 | Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 106 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 7280 | Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7281 | Find $ a_1 $ (first term of arithmetic progression) if $ d = -3 ~~ \text{and} ~~ a_{ 13 } = -28 $. | 1 |
| 7282 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7283 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 23 $. | 1 |
| 7284 | $$ a_{ 12 } = 468 ~~,~~ S_{ 4 } = 28 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7285 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7286 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \left( -33 \right) $. | 1 |
| 7287 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 115 ~~ \text{and} ~~ d = 35 $. | 1 |
| 7288 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 128 $. | 1 |
| 7289 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 11 $. | 1 |
| 7290 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = -15 $. | 1 |
| 7291 | Find $ S_{ 101 } $ ( sum of first $ 101 $ terms ) of arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7292 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 38 ~~ \text{and} ~~ d = 200 $. | 1 |
| 7293 | Find $ a_{ 500 } $ of an arithmetic progression if $ a_1 = 1100 ~~ \text{and} ~~ d = 110 $. | 1 |
| 7294 | $$ a_1 = 3 ~,~ d = -9 ~,~ a_n = 11 ~,~ n = ? $$ | 1 |
| 7295 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -\frac{ 1 }{ 5 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 5 } \right) $. | 1 |
| 7296 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = \left( -200 \right) $. | 1 |
| 7297 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 7298 | Find $ a_{ 27 } $ of an arithmetic progression if $ a_1 = -35 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7299 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = -27 ~~ \text{and} ~~ d = 20 $. | 1 |
| 7300 | Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = -35 ~~ \text{and} ~~ d = \left( -100 \right) $. | 1 |
