Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9301 | Find $ a_{ 57 } $ of an arithmetic progression if $ a_1 = -16 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9302 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 72 ~~ \text{and} ~~ d = 8 $. | 1 |
| 9303 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -30 \right) $. | 1 |
| 9304 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9305 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 20 $. | 1 |
| 9306 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9307 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 3000 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9308 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 3000 ~~ \text{and} ~~ d = \frac{ 1 }{ 20 } $. | 1 |
| 9309 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 6 ~~ \text{and} ~~ S_{ 14 } = 574 $. | 1 |
| 9310 | Find $ a_{ 546 } $ of an arithmetic progression if $ a_1 = \frac{ 33 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $. | 1 |
| 9311 | Find $ S_{ 546 } $ ( sum of first $ 546 $ terms ) of arithmetic progression if $ a_1 = \frac{ 33 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $. | 1 |
| 9312 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = 0 $. | 1 |
| 9313 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 9314 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 9315 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = \frac{ 1511 }{ 20 } ~~ \text{and} ~~ d = \frac{ 11 }{ 20 } $. | 1 |
| 9316 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 14015 ~~ \text{and} ~~ d = \left( -260 \right) $. | 1 |
| 9317 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9318 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9319 | Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -1 $. | 1 |
| 9320 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9321 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9322 | $$ a_1 = -22 ~,~ d = -9 ~,~ a_n = 2 ~,~ n = ? $$ | 1 |
| 9323 | $$ a_1 = \frac{ 1 }{ 6 } ~,~ d = \frac{ 1 }{ 3 } ~,~ S_n = \frac{ 3333 }{ 1000 } ~,~ n = ? $$ | 1 |
| 9324 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 70 ~~ \text{and} ~~ d = 30 $. | 1 |
| 9325 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 408 ~~ \text{and} ~~ d = -13 $. | 1 |
| 9326 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 203 ~~ \text{and} ~~ d = -14 $. | 1 |
| 9327 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 249 ~~ \text{and} ~~ d = -26 $. | 1 |
| 9328 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 125 ~~ \text{and} ~~ d = -3 $. | 1 |
| 9329 | Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 70 ~~ \text{and} ~~ d = -\frac{ 11 }{ 2 } $. | 1 |
| 9330 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 13 $. | 1 |
| 9331 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9332 | $$ a_{ 5 } = 3 ~~,~~ S_{ 20 } = 28 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 9333 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9334 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 9335 | Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9336 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \frac{ 292 }{ 99 } $. | 1 |
| 9337 | Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9338 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9339 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9340 | Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9341 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9342 | Find $ a_{ 56 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9343 | Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9344 | Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9345 | Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9346 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9347 | $$ a_1 = 9 ~,~ d = -5 ~,~ a_n = -566 ~,~ n = ? $$ | 1 |
| 9348 | $$ a_1 = -4 ~,~ d = 4 ~,~ a_n = 460 ~,~ n = ? $$ | 1 |
| 9349 | Find $ S_{ 117 } $ ( sum of first $ 117 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9350 | $$ a_1 = 4 ~,~ d = 4 ~,~ a_n = 568 ~,~ n = ? $$ | 1 |
