Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 851 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 2 $. | 5 |
| 852 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 5 |
| 853 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 8 $. | 5 |
| 854 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 2 $. | 5 |
| 855 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = -6 $. | 5 |
| 856 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = -\frac{ 1 }{ 2 } $. | 5 |
| 857 | Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = -\frac{ 1 }{ 2 } $. | 5 |
| 858 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 155 ~~ \text{and} ~~ d = 20 $. | 5 |
| 859 | Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = -32 ~~ \text{and} ~~ d = 3 $. | 5 |
| 860 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 12 ~~ \text{and} ~~ a_{ 3 } = 14 $. | 5 |
| 861 | Find $ a_{ 299 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 5 |
| 862 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 22840 ~~ \text{and} ~~ d = 63 $. | 5 |
| 863 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 22840 ~~ \text{and} ~~ d = 63 $. | 5 |
| 864 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 22840 ~~ \text{and} ~~ d = 63 $. | 5 |
| 865 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 5 |
| 866 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 9 $. | 5 |
| 867 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 9 $. | 5 |
| 868 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -3 \right) $. | 5 |
| 869 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -6 \right) $. | 5 |
| 870 | $$ d = 1 ~,~ a_n = 20 ~,~ S_n = 200 ~,~ n = ? $$ | 5 |
| 871 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 0 $. | 5 |
| 872 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 0 $. | 5 |
| 873 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $. | 5 |
| 874 | Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = 208 ~~ \text{and} ~~ d = \left( -4 \right) $. | 5 |
| 875 | Find $ a_{ 76 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = \left( -2 \right) $. | 5 |
| 876 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \left( -3 \right) $. | 5 |
| 877 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 5 |
| 878 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 32 $. | 5 |
| 879 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \left( -4 \right) $. | 5 |
| 880 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -33 ~~ \text{and} ~~ d = \left( -200 \right) $. | 5 |
| 881 | $$ a_1 = 10 ~~,~~ d = 10 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 5 |
| 882 | Find $ a_{ 72 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 4 $. | 5 |
| 883 | Find $ a_{ 150 } $ of an arithmetic progression if $ a_1 = -60 ~~ \text{and} ~~ d = 3 $. | 5 |
| 884 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 2 $. | 5 |
| 885 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 5 |
| 886 | Find $ S_{ 70 } $ ( sum of first $ 70 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 1 $. | 5 |
| 887 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 5 |
| 888 | $$ a_1 = 1 ~,~ d = 2 ~,~ S_n = 289 ~,~ n = ? $$ | 5 |
| 889 | Find $ S_{ 2024 } $ ( sum of first $ 2024 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 5 |
| 890 | Find $ a_{ 36500 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 5 |
| 891 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = 1 $. | 5 |
| 892 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -8 \right) $. | 5 |
| 893 | $$ a_1 = 1 ~,~ d = 2 ~,~ a_n = 1003 ~,~ n = ? $$ | 5 |
| 894 | Find $ S_{ 502 } $ ( sum of first $ 502 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 5 |
| 895 | $$ a_1 = 890 ~,~ d = -9 ~,~ a_n = 8 ~,~ n = ? $$ | 5 |
| 896 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 890 ~~ \text{and} ~~ d = -9 $. | 5 |
| 897 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $. | 5 |
| 898 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 6 $. | 5 |
| 899 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 7 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $. | 5 |
| 900 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 5 |
