Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 1501 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1502 | Find $ S_{ 1000000 } $ ( sum of first $ 1000000 $ terms ) of arithmetic progression if $ a_1 = 0.001 ~~ \text{and} ~~ d = 1.0E-5 $. | 4 |
| 1503 | Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 0.001 ~~ \text{and} ~~ d = 1.0E-5 $. | 4 |
| 1504 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 65 ~~ \text{and} ~~ d = 0 $. | 4 |
| 1505 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 6 } ~~ \text{and} ~~ d = \frac{ 5 }{ 6 } $. | 4 |
| 1506 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1507 | Find $ S_{ 2 } $ ( sum of first $ 2 $ terms ) of arithmetic progression if $ a_1 = 2380 ~~ \text{and} ~~ d = 59 $. | 4 |
| 1508 | $$ d = -3 ~,~ a_n = 16 ~,~ S_n = 168 ~,~ n = ? $$ | 4 |
| 1509 | $$ a_{ 5 } = 20 ~~,~~ S_{ 5 } = 18 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1510 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 11 } ~~ \text{and} ~~ d = \frac{ 4 }{ 11 } $. | 4 |
| 1511 | Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = -30 ~~ \text{and} ~~ d = \left( -11 \right) $. | 4 |
| 1512 | Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1513 | Find $ a_{ 46 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1514 | Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1515 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1516 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 140 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1517 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 365 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1518 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1519 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \left( -10 \right) $. | 4 |
| 1520 | $$ a_1 = 1 ~,~ d = 8 ~,~ S_n = 32841 ~,~ n = ? $$ | 4 |
| 1521 | $$ a_1 = 1 ~,~ d = 8 ~,~ a_n = 93 ~,~ n = ? $$ | 4 |
| 1522 | $$ a_1 = 1 ~,~ d = 8 ~,~ a_n = 32841 ~,~ n = ? $$ | 4 |
| 1523 | $$ a_1 = 231 ~,~ d = 1 ~,~ S_n = 463 ~,~ n = ? $$ | 4 |
| 1524 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 231 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1525 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 231 ~~ \text{and} ~~ d = 28 $. | 4 |
| 1526 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 231 ~~ \text{and} ~~ d = 28 $. | 4 |
| 1527 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1528 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1529 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1530 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1531 | Find $ a_{ 67 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 9 $. | 4 |
| 1532 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1533 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1534 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1535 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1536 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1537 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = -3 $. | 4 |
| 1538 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1539 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -39 ~~ \text{and} ~~ d = 8 $. | 4 |
| 1540 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1541 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 6200 ~~ \text{and} ~~ d = 500 $. | 4 |
| 1542 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 6200 ~~ \text{and} ~~ d = -500 $. | 4 |
| 1543 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1544 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -5 \right) $. | 4 |
| 1545 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1546 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1547 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 57 ~~ \text{and} ~~ d = \left( -6 \right) $. | 4 |
| 1548 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1549 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 5 } ~~ \text{and} ~~ d = \frac{ 4 }{ 5 } $. | 4 |
| 1550 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 5 } ~~ \text{and} ~~ d = \frac{ 4 }{ 5 } $. | 4 |
