Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9001 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9002 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9003 | Find $ a_{ 60000 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9004 | Find $ a_{ 164 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9005 | Find $ S_{ 164 } $ ( sum of first $ 164 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9006 | Find $ a_{ 149 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 9007 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 9008 | Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = -6 $. | 1 |
| 9009 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $. | 1 |
| 9010 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9011 | Find $ a_{ 66 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9012 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9013 | Find $ a_{ 56 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $. | 1 |
| 9014 | Find $ S_{ 98 } $ ( sum of first $ 98 $ terms ) of arithmetic progression if $ a_1 = 51 ~~ \text{and} ~~ d = 64 $. | 1 |
| 9015 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = 26 $. | 1 |
| 9016 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = 26 $. | 1 |
| 9017 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 26 $. | 1 |
| 9018 | Find $ S_{ 64 } $ ( sum of first $ 64 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 7 }{ 6 } $. | 1 |
| 9019 | Find $ S_{ 64 } $ ( sum of first $ 64 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = 76 $. | 1 |
| 9020 | Find $ S_{ 64 } $ ( sum of first $ 64 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 7 }{ 6 } $. | 1 |
| 9021 | Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9022 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 12 $. | 1 |
| 9023 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9024 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 17000 ~~ \text{and} ~~ d = 1500 $. | 1 |
| 9025 | $$ a_1 = 1 ~,~ d = 2 ~,~ S_n = 499 ~,~ n = ? $$ | 1 |
| 9026 | Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9027 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9028 | Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 65740 ~~ \text{and} ~~ d = 190 $. | 1 |
| 9029 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 33 $. | 1 |
| 9030 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9031 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = -6 $. | 1 |
| 9032 | Find common difference $ d $ of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ a_{ 7 } = -7 $. | 1 |
| 9033 | $$ a_1 = 7 ~,~ d = -\frac{ 7 }{ 3 } ~,~ a_n = 15 ~,~ n = ? $$ | 1 |
| 9034 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9035 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 12 $. | 1 |
| 9036 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9037 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9038 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 0.289 ~~ \text{and} ~~ d = 0.289 $. | 1 |
| 9039 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \frac{ 22 }{ 5 } $. | 1 |
| 9040 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 4 } ~~ \text{and} ~~ d = 3 $. | 1 |
| 9041 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 4 } ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9042 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = -\frac{ 13 }{ 2 } $. | 1 |
| 9043 | $$ a_1 = 7 ~,~ d = 40 ~,~ a_n = 115 ~,~ n = ? $$ | 1 |
| 9044 | $$ a_{ 13 } = -62 ~~,~~ S_{ 2 } = 47 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 9045 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9046 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 9047 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 20 } $. | 1 |
| 9048 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = \frac{ 5 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 20 } $. | 1 |
| 9049 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9050 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = 5 $. | 1 |
