Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7001 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $. | 1 |
| 7002 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $. | 1 |
| 7003 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $. | 1 |
| 7004 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 7005 | $$ a_1 = 3 ~,~ d = 4 ~,~ a_n = 26 ~,~ n = ? $$ | 1 |
| 7006 | $$ a_1 = -21 ~~,~~ d = \frac{ 5 }{ 6 } ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7007 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 5 } ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $. | 1 |
| 7008 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 5 } ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $. | 1 |
| 7009 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 5 }{ 2 } ~~ \text{and} ~~ d = -\frac{ 3 }{ 2 } $. | 1 |
| 7010 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7011 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 996 $. | 1 |
| 7012 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7013 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7014 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7015 | $$ a_1 = 1 ~,~ d = 2 ~,~ S_n = 960 ~,~ n = ? $$ | 1 |
| 7016 | $$ a_1 = 1 ~,~ d = 2 ~,~ S_n = 966 ~,~ n = ? $$ | 1 |
| 7017 | $$ a_1 = 29 ~,~ d = 10 ~,~ a_n = 0 ~,~ n = ? $$ | 1 |
| 7018 | $$ a_1 = 29 ~,~ d = 10 ~,~ a_n = 29 ~,~ n = ? $$ | 1 |
| 7019 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 10 $. | 1 |
| 7020 | $$ a_1 = 29 ~,~ d = 5 ~,~ a_n = -91 ~,~ n = ? $$ | 1 |
| 7021 | $$ a_1 = 29 ~,~ d = 5 ~,~ a_n = -79 ~,~ n = ? $$ | 1 |
| 7022 | $$ a_1 = 29 ~,~ d = 5 ~,~ a_n = 741 ~,~ n = ? $$ | 1 |
| 7023 | $$ a_1 = 29 ~,~ d = 5 ~,~ a_n = 615 ~,~ n = ? $$ | 1 |
| 7024 | $$ a_1 = 35 ~,~ d = 5 ~,~ a_n = 615 ~,~ n = ? $$ | 1 |
| 7025 | $$ a_1 = 35 ~,~ d = 5 ~,~ a_n = 741 ~,~ n = ? $$ | 1 |
| 7026 | $$ a_1 = 35 ~,~ d = 5 ~,~ a_n = -79 ~,~ n = ? $$ | 1 |
| 7027 | $$ a_1 = 35 ~,~ d = 5 ~,~ a_n = -91 ~,~ n = ? $$ | 1 |
| 7028 | Find $ a_{ 89 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7029 | Find $ S_{ 89 } $ ( sum of first $ 89 $ terms ) of arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7030 | Find $ S_{ 51 } $ ( sum of first $ 51 $ terms ) of arithmetic progression if $ a_1 = 306 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7031 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7032 | Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7033 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 3899 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7034 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 10 $. | 1 |
| 7035 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = -10 $. | 1 |
| 7036 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 7037 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -25 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7038 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 292 $. | 1 |
| 7039 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 7040 | Find $ a_{ 98 } $ of an arithmetic progression if $ a_1 = 99 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 7041 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 23000 ~~ \text{and} ~~ d = 500 $. | 1 |
| 7042 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 23000 ~~ \text{and} ~~ d = 500 $. | 1 |
| 7043 | Find $ S_{ 979 } $ ( sum of first $ 979 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7044 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7045 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7046 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 568 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7047 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7048 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7049 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7050 | Find $ a_{ 3312000 } $ of an arithmetic progression if $ a_1 = 72000 ~~ \text{and} ~~ d = 18000 $. | 1 |
