Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9851 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 9852 | Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \frac{ 4 }{ 3 } $. | 1 |
| 9853 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 190 ~~ \text{and} ~~ d = 35 $. | 1 |
| 9854 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 330 ~~ \text{and} ~~ d = 35 $. | 1 |
| 9855 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 26000 ~~ \text{and} ~~ d = 1250 $. | 1 |
| 9856 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 97 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9857 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 97 ~~ \text{and} ~~ d = -4 $. | 1 |
| 9858 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9859 | Find common difference $ d $ of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ a_{ 10 } = 100 $. | 1 |
| 9860 | $$ a_1 = 2 ~,~ d = 4 ~,~ a_n = 86 ~,~ n = ? $$ | 1 |
| 9861 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 6600 ~~ \text{and} ~~ d = -500 $. | 1 |
| 9862 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 1500 ~~ \text{and} ~~ d = 700 $. | 1 |
| 9863 | Find $ a_{ 18200700 } $ of an arithmetic progression if $ a_1 = 1500 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9864 | Find $ a_{ 18200 } $ of an arithmetic progression if $ a_1 = 1500 ~~ \text{and} ~~ d = 700 $. | 1 |
| 9865 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9866 | Find $ a_{ 2020 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9867 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 360000 ~~ \text{and} ~~ d = 60000 $. | 1 |
| 9868 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 321 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9869 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 15 $. | 1 |
| 9870 | Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = 204 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9871 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9872 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9873 | Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 30 $. | 1 |
| 9874 | Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 20 $. | 1 |
| 9875 | Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 20 $. | 1 |
| 9876 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 15 $. | 1 |
| 9877 | Find $ a_{ 94 } $ of an arithmetic progression if $ a_1 = -26 ~~ \text{and} ~~ d = 11 $. | 1 |
| 9878 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = -21 ~~ \text{and} ~~ d = 11 $. | 1 |
| 9879 | Find $ S_{ 46 } $ ( sum of first $ 46 $ terms ) of arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9880 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = \frac{ 1 }{ 5 } $. | 1 |
| 9881 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 2000 ~~ \text{and} ~~ d = 2000 $. | 1 |
| 9882 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 0.08333 $. | 1 |
| 9883 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 9884 | $$ a_1 = 3 ~,~ a_n = 20 ~,~ S_n = 207 ~,~ n = ? $$ | 1 |
| 9885 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = 1 $. | 1 |
| 9886 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = 1 $. | 1 |
| 9887 | $$ a_{ 3 } = 20 ~~,~~ S_{ 2 } = 30 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 9888 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 1 ~~ \text{and} ~~ a_{ 3 } = 20 $. | 1 |
| 9889 | $$ a_{ 3 } = 20 ~~,~~ S_{ 20 } = 3 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 9890 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9891 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = 12 $. | 1 |
| 9892 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = \frac{ 73 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 9893 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 97 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 9894 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 58 $. | 1 |
| 9895 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9896 | Find $ S_{ 193 } $ ( sum of first $ 193 $ terms ) of arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 12 $. | 1 |
| 9897 | Find $ a_{ 193 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 12 $. | 1 |
| 9898 | Find $ S_{ 81 } $ ( sum of first $ 81 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 10 } ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9899 | Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 10 } ~~ \text{and} ~~ d = \frac{ 3 }{ 10 } $. | 1 |
| 9900 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 5 $. | 1 |
