Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 1701 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 4 |
| 1702 | Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 4 |
| 1703 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1704 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1705 | $$ a_1 = 1 ~,~ d = 1 ~,~ a_n = 8000000 ~,~ n = ? $$ | 4 |
| 1706 | $$ a_1 = 5 ~,~ d = 4 ~,~ S_n = 1325 ~,~ n = ? $$ | 4 |
| 1707 | Find $ a_{ 48 } $ of an arithmetic progression if $ a_1 = 205 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1708 | $$ a_{ 28 } = -101 ~~,~~ S_{ 4 } = 4 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1709 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1710 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1711 | Find $ S_{ 101 } $ ( sum of first $ 101 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1712 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1713 | Find $ S_{ 38 } $ ( sum of first $ 38 $ terms ) of arithmetic progression if $ a_1 = 2000 ~~ \text{and} ~~ d = 200 $. | 4 |
| 1714 | Find $ a_{ 67 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1715 | Find $ a_{ 77 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -2 \right) $. | 4 |
| 1716 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = -19 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1717 | Find $ a_{ 97 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 9 $. | 4 |
| 1718 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = -2 $. | 4 |
| 1719 | Find $ S_{ 51 } $ ( sum of first $ 51 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1720 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1721 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1722 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1723 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1724 | Find $ S_{ 58 } $ ( sum of first $ 58 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 15 $. | 4 |
| 1725 | Find $ a_{ 58 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 15 $. | 4 |
| 1726 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 15 $. | 4 |
| 1727 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 124 ~~ \text{and} ~~ d = 14 $. | 4 |
| 1728 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1729 | Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1730 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1731 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1732 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1733 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 0 $. | 4 |
| 1734 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 4 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $. | 4 |
| 1735 | Find $ S_{ 1 } $ ( sum of first $ 1 $ terms ) of arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1736 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1737 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = \left( -4 \right) $. | 4 |
| 1738 | Find $ a_1 $ (first term of arithmetic progression) if $ d = -2 ~~ \text{and} ~~ a_{ 33 } = 92 $. | 4 |
| 1739 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1740 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1741 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1742 | Find $ a_{ 44 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1743 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1744 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1745 | $$ a_1 = -2 ~,~ d = -6 ~,~ a_n = 25 ~,~ n = ? $$ | 4 |
| 1746 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 510 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1747 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 515 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1748 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 515 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1749 | Find $ a_{ 63 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1750 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 8 }{ 3 } ~~ \text{and} ~~ d = \frac{ 3 }{ 5 } $. | 4 |
