Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9701 | $$ a_1 = -4 ~,~ a_n = 53 ~,~ S_n = 539 ~,~ n = ? $$ | 1 |
| 9702 | $$ d = 7 ~,~ a_n = 20 ~,~ S_n = 1770 ~,~ n = ? $$ | 1 |
| 9703 | $$ a_1 = 22 ~,~ d = 7 ~,~ S_n = 1770 ~,~ n = ? $$ | 1 |
| 9704 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9705 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9706 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \frac{ 39 }{ 2 } $. | 1 |
| 9707 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \frac{ 1901 }{ 100 } $. | 1 |
| 9708 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \left( -18 \right) $. | 1 |
| 9709 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \left( -\frac{ 94 }{ 5 } \right) $. | 1 |
| 9710 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \left( -\frac{ 187 }{ 10 } \right) $. | 1 |
| 9711 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \left( -17 \right) $. | 1 |
| 9712 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \left( -24 \right) $. | 1 |
| 9713 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = \left( -27 \right) $. | 1 |
| 9714 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 94 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9715 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9716 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 9717 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 34 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9718 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9719 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 9720 | Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = -15 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9721 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9722 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9723 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -29 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 9724 | Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9725 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9726 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9727 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9728 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \frac{ 73 }{ 25 } $. | 1 |
| 9729 | Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = -24 ~~ \text{and} ~~ d = \left( -100 \right) $. | 1 |
| 9730 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9731 | $$ a_1 = \frac{ 1 }{ 100 } ~~,~~ d = \frac{ 1 }{ 100 } ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 9732 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9733 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9734 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9735 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9736 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 159 ~~ \text{and} ~~ d = \left( -14 \right) $. | 1 |
| 9737 | Find $ a_{ 89 } $ of an arithmetic progression if $ a_1 = \frac{ 20 }{ 3 } ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $. | 1 |
| 9738 | Find $ a_{ 333 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9739 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9740 | Find $ a_{ 62 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9741 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9742 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9743 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = -37 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9744 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 36373839 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9745 | Find $ a_{ 237 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9746 | Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = -16 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 9747 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -90 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9748 | Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = 14 $. | 1 |
| 9749 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9750 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 11 }{ 12 } ~~ \text{and} ~~ d = 0 $. | 1 |
