Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 8451 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 75 ~~ \text{and} ~~ d = -7 $. | 1 |
| 8452 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8453 | Find $ S_{ 150 } $ ( sum of first $ 150 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8454 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8455 | $$ a_1 = 9 ~,~ d = -4 ~,~ a_n = 503 ~,~ n = ? $$ | 1 |
| 8456 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8457 | Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8458 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 8459 | Find $ S_{ 34 } $ ( sum of first $ 34 $ terms ) of arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = -4 $. | 1 |
| 8460 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8461 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 2 }{ 5 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 4 } \right) $. | 1 |
| 8462 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 2 }{ 5 } ~~ \text{and} ~~ d = -\frac{ 1 }{ 4 } $. | 1 |
| 8463 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \frac{ 2 }{ 5 } $. | 1 |
| 8464 | $$ a_1 = 4 ~,~ d = -3 ~,~ a_n = -281 ~,~ n = ? $$ | 1 |
| 8465 | Find $ S_{ 44 } $ ( sum of first $ 44 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8466 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = 30 $. | 1 |
| 8467 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8468 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8469 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8470 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8471 | $$ a_{ 24 } = 68 ~~,~~ S_{ 29 } = 1711 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8472 | Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 65 ~~ \text{and} ~~ d = \left( -100 \right) $. | 1 |
| 8473 | $$ a_1 = 5 ~,~ d = 13 ~,~ a_n = 642 ~,~ n = ? $$ | 1 |
| 8474 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = 14 $. | 1 |
| 8475 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 15 } ~~ \text{and} ~~ d = 21 $. | 1 |
| 8476 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8477 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 8478 | Find $ a_{ 51 } $ of an arithmetic progression if $ a_1 = -24 ~~ \text{and} ~~ d = \left( -31 \right) $. | 1 |
| 8479 | Find $ a_{ 94 } $ of an arithmetic progression if $ a_1 = -25 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 8480 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $. | 1 |
| 8481 | Find $ a_{ 94 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 56 $. | 1 |
| 8482 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8483 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $. | 1 |
| 8484 | Find $ a_{ 92 } $ of an arithmetic progression if $ a_1 = -29 ~~ \text{and} ~~ d = \left( -51 \right) $. | 1 |
| 8485 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $. | 1 |
| 8486 | Find $ a_{ 54 } $ of an arithmetic progression if $ a_1 = -23 ~~ \text{and} ~~ d = \left( -16 \right) $. | 1 |
| 8487 | Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -12 \right) $. | 1 |
| 8488 | Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8489 | Find $ a_{ 129 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 5 } ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 8490 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -\frac{ 3 }{ 2 } \right) $. | 1 |
| 8491 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -\frac{ 3 }{ 2 } \right) $. | 1 |
| 8492 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -\frac{ 3 }{ 2 } \right) $. | 1 |
| 8493 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -\frac{ 3 }{ 2 } \right) $. | 1 |
| 8494 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8495 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8496 | Find $ a_{ 17280 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8497 | Find $ S_{ 17280 } $ ( sum of first $ 17280 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8498 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8499 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8500 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 7 $. | 1 |
