Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 1801 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1802 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1803 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = 360 $. | 4 |
| 1804 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1805 | $$ a_1 = 5 ~,~ d = 5 ~,~ a_n = 6 ~,~ n = ? $$ | 4 |
| 1806 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1807 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1808 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1809 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1810 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1811 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1812 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1813 | $$ a_1 = 3 ~,~ d = 1 ~,~ S_n = 360 ~,~ n = ? $$ | 4 |
| 1814 | $$ a_1 = 20 ~~,~~ d = 3 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1815 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1816 | Find $ S_{ 93 } $ ( sum of first $ 93 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1817 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = -40 ~~ \text{and} ~~ d = 15 $. | 4 |
| 1818 | Find $ a_{ 42 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -5 \right) $. | 4 |
| 1819 | Find $ S_{ 42 } $ ( sum of first $ 42 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = -5 $. | 4 |
| 1820 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 4 |
| 1821 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 4 |
| 1822 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -5 \right) $. | 4 |
| 1823 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -20 \right) $. | 4 |
| 1824 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = \frac{ 21 }{ 4 } ~~ \text{and} ~~ d = \frac{ 9 }{ 4 } $. | 4 |
| 1825 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 51 }{ 5 } ~~ \text{and} ~~ d = \frac{ 11 }{ 10 } $. | 4 |
| 1826 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1827 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = -3 $. | 4 |
| 1828 | Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1829 | Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1830 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1831 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 8 $. | 4 |
| 1832 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1833 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 4 |
| 1834 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -2 \right) $. | 4 |
| 1835 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -2 \right) $. | 4 |
| 1836 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 0 $. | 4 |
| 1837 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1838 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1839 | $$ a_1 = 14 ~,~ d = 11 ~,~ a_n = 32 ~,~ n = ? $$ | 4 |
| 1840 | Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 11 $. | 4 |
| 1841 | Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 12 $. | 4 |
| 1842 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1843 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1844 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1845 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1846 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1847 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 9 } ~~ \text{and} ~~ d = -3 $. | 4 |
| 1848 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 9 } $. | 4 |
| 1849 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 6 $. | 4 |
| 1850 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = \left( -8 \right) $. | 4 |
