Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 8701 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 51 ~~ \text{and} ~~ d = 12 $. | 1 |
| 8702 | $$ a_1 = 51 ~,~ d = 12 ~,~ a_n = 1 ~,~ n = ? $$ | 1 |
| 8703 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8704 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8705 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 7 ~~ \text{and} ~~ a_{ 23 } = 58 $. | 1 |
| 8706 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = \frac{ 23 }{ 3 } ~~ \text{and} ~~ d = \frac{ 10 }{ 3 } $. | 1 |
| 8707 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = \frac{ 23 }{ 3 } ~~ \text{and} ~~ d = \left( -\frac{ 10 }{ 3 } \right) $. | 1 |
| 8708 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = \frac{ 23 }{ 3 } ~~ \text{and} ~~ d = \left( -\frac{ 10 }{ 3 } \right) $. | 1 |
| 8709 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 187 }{ 2 } ~~ \text{and} ~~ d = -\frac{ 1 }{ 4 } $. | 1 |
| 8710 | $$ a_1 = 1 ~,~ d = -3 ~,~ a_n = -56 ~,~ n = ? $$ | 1 |
| 8711 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 8 } ~~ \text{and} ~~ d = 8 $. | 1 |
| 8712 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -\frac{ 5 }{ 2 } \right) $. | 1 |
| 8713 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8714 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8715 | Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8716 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8717 | $$ a_1 = -2 ~,~ d = -3 ~,~ a_n = 10 ~,~ n = ? $$ | 1 |
| 8718 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 21 }{ 5 } ~~ \text{and} ~~ d = \frac{ 16 }{ 5 } $. | 1 |
| 8719 | $$ a_1 = 7 ~,~ d = 7 ~,~ a_n = 1995 ~,~ n = ? $$ | 1 |
| 8720 | Find $ S_{ 90 } $ ( sum of first $ 90 $ terms ) of arithmetic progression if $ a_1 = -40 ~~ \text{and} ~~ d = -1 $. | 1 |
| 8721 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 8722 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 12 $. | 1 |
| 8723 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 17 $. | 1 |
| 8724 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 15 $. | 1 |
| 8725 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8726 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 293 ~~ \text{and} ~~ d = -12 $. | 1 |
| 8727 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8728 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 29 $. | 1 |
| 8729 | Find $ a_1 $ (first term of arithmetic progression) if $ d = -8 ~~ \text{and} ~~ a_{ 38 } = -320 $. | 1 |
| 8730 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 70 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8731 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8732 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 20 $. | 1 |
| 8733 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 8734 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8735 | Find $ a_{ 73 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8736 | Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8737 | Find $ a_{ 59 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 8738 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8739 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 13000 ~~ \text{and} ~~ d = \left( -900 \right) $. | 1 |
| 8740 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 4 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $. | 1 |
| 8741 | Find $ a_{ 79 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8742 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 34 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8743 | Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8744 | Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 63 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8745 | Find $ S_{ 2 } $ ( sum of first $ 2 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8746 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 1399 }{ 20 } ~~ \text{and} ~~ d = 30 $. | 1 |
| 8747 | $$ a_1 = 3 ~~,~~ d = 4 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8748 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -28 ~~ \text{and} ~~ d = 30 $. | 1 |
| 8749 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8750 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ d = 12 $. | 1 |
