Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 1401 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1402 | Find $ a_{ 1000 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1403 | Find $ a_{ 910 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1404 | Find $ a_{ 710 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1405 | Find $ S_{ 711 } $ ( sum of first $ 711 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1406 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -31 ~~ \text{and} ~~ d = \left( -7 \right) $. | 4 |
| 1407 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -63 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1408 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = -63 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1409 | Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = -63 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1410 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1411 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1412 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 212 ~~ \text{and} ~~ d = \left( -106 \right) $. | 4 |
| 1413 | Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1414 | Find $ a_{ 97 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1415 | $$ a_1 = 8 ~,~ d = 2 ~,~ a_n = 30 ~,~ n = ? $$ | 4 |
| 1416 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 800000 ~~ \text{and} ~~ d = 750000 $. | 4 |
| 1417 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 750000 ~~ \text{and} ~~ d = 50000 $. | 4 |
| 1418 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1419 | Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1420 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -\frac{ 7 }{ 9 } \right) $. | 4 |
| 1421 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1422 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1423 | $$ a_1 = -2 ~,~ d = 5 ~,~ S_n = 1573 ~,~ n = ? $$ | 4 |
| 1424 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 0 $. | 4 |
| 1425 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1426 | $$ a_1 = -869 ~,~ d = 30 ~,~ a_n = 31 ~,~ n = ? $$ | 4 |
| 1427 | Find $ a_{ 91 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1428 | Find $ S_{ 91 } $ ( sum of first $ 91 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1429 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \left( -2 \right) $. | 4 |
| 1430 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 5 ~~ \text{and} ~~ S_{ 14 } = 1239 $. | 4 |
| 1431 | Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 4 } ~~ \text{and} ~~ d = \frac{ 3 }{ 8 } $. | 4 |
| 1432 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1433 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 8 } ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $. | 4 |
| 1434 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 8 $. | 4 |
| 1435 | Find $ a_{ 83 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1436 | Find $ a_{ 43 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -7 \right) $. | 4 |
| 1437 | $$ a_{ 3 } = \frac{ 1 }{ 3 } ~~,~~ S_{ 7 } = \frac{ 1 }{ 47 } ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1438 | Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1439 | Find $ a_{ 304 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1440 | Find $ S_{ 102 } $ ( sum of first $ 102 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1441 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = \left( -\frac{ 5 }{ 2 } \right) $. | 4 |
| 1442 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 87 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1443 | Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 87 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1444 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 59 ~~ \text{and} ~~ d = \left( -7 \right) $. | 4 |
| 1445 | Find $ a_{ 59 } $ of an arithmetic progression if $ a_1 = \frac{ 13 }{ 2 } ~~ \text{and} ~~ d = \frac{ 9 }{ 10 } $. | 4 |
| 1446 | Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = \left( -12 \right) $. | 4 |
| 1447 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1448 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1449 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1450 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 10 $. | 4 |
