Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7851 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = -30 ~~ \text{and} ~~ d = \left( -100 \right) $. | 1 |
| 7852 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7853 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 7854 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 7855 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 7856 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7857 | Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -30 \right) $. | 1 |
| 7858 | Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = -31 ~~ \text{and} ~~ d = 9 $. | 1 |
| 7859 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7860 | Find $ a_{ 80 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7861 | Find $ S_{ 80 } $ ( sum of first $ 80 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7862 | Find $ S_{ 56 } $ ( sum of first $ 56 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7863 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 7864 | Find $ a_{ 56 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7865 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 39 ~~ \text{and} ~~ d = 65 $. | 1 |
| 7866 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 65 ~~ \text{and} ~~ d = 100 $. | 1 |
| 7867 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 65 $. | 1 |
| 7868 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 7869 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7870 | Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7871 | Find common difference $ d $ of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ a_{ 35 } = 115 $. | 1 |
| 7872 | Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 17 }{ 57 } $. | 1 |
| 7873 | Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7874 | $$ a_1 = -\frac{ 7 }{ 5 } ~,~ d = \frac{ 3 }{ 5 } ~,~ a_n = 21 ~,~ n = ? $$ | 1 |
| 7875 | Find $ a_{ 1985 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7876 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = \left( -12 \right) $. | 1 |
| 7877 | $$ a_1 = 1024 ~,~ d = -2 ~,~ a_n = 1 ~,~ n = ? $$ | 1 |
| 7878 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7879 | Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7880 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7881 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 1830 ~~ \text{and} ~~ d = -1 $. | 1 |
| 7882 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 7883 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 1830 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 7884 | $$ a_1 = 8 ~~,~~ d = 2 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7885 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 11 $. | 1 |
| 7886 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7887 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7888 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $. | 1 |
| 7889 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 106 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 7890 | $$ a_1 = 106 ~,~ d = -3 ~,~ a_n = 1 ~,~ n = ? $$ | 1 |
| 7891 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 7892 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 7893 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7894 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 275 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7895 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 2975 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7896 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7897 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 2 }{ 3 } ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $. | 1 |
| 7898 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 2 }{ 3 } ~~ \text{and} ~~ d = \frac{ 4 }{ 3 } $. | 1 |
| 7899 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7900 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 202 ~~ \text{and} ~~ d = -15 $. | 1 |
