Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9601 | Find $ a_{ 47 } $ of an arithmetic progression if $ a_1 = 117 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9602 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 38900 ~~ \text{and} ~~ d = \frac{ 103 }{ 100 } $. | 1 |
| 9603 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 7 } ~~ \text{and} ~~ d = \frac{ 1 }{ 7 } $. | 1 |
| 9604 | $$ a_1 = -7 ~,~ d = 2 ~,~ a_n = 105 ~,~ n = ? $$ | 1 |
| 9605 | Find $ S_{ 5000 } $ ( sum of first $ 5000 $ terms ) of arithmetic progression if $ a_1 = 200000 ~~ \text{and} ~~ d = 10000 $. | 1 |
| 9606 | Find $ a_{ 5000 } $ of an arithmetic progression if $ a_1 = 200000 ~~ \text{and} ~~ d = 10 $. | 1 |
| 9607 | Find $ S_{ 5000 } $ ( sum of first $ 5000 $ terms ) of arithmetic progression if $ a_1 = 150000 ~~ \text{and} ~~ d = 10 $. | 1 |
| 9608 | Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -\frac{ 5 }{ 3 } \right) $. | 1 |
| 9609 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9610 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 1 |
| 9611 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 9612 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 9613 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9614 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9615 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9616 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9617 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9618 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9619 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9620 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9621 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9622 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $. | 1 |
| 9623 | Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 9624 | Find $ S_{ 49 } $ ( sum of first $ 49 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 9625 | Find $ a_{ 62 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9626 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9627 | $$ a_1 = 7 ~~,~~ d = -\frac{ 7 }{ 9 } ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 9628 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = -\frac{ 5 }{ 2 } $. | 1 |
| 9629 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 9630 | Find $ S_{ 2 } $ ( sum of first $ 2 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = -5 $. | 1 |
| 9631 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 9632 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9633 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 9634 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9635 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 9636 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 10 $. | 1 |
| 9637 | Find $ S_{ 32 } $ ( sum of first $ 32 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9638 | Find $ a_{ 99 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9639 | $$ a_1 = 35 ~,~ d = 3 ~,~ a_n = 1981 ~,~ n = ? $$ | 1 |
| 9640 | Find $ a_{ 1976 } $ of an arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9641 | $$ a_1 = 35 ~,~ d = 6 ~,~ a_n = 1976 ~,~ n = ? $$ | 1 |
| 9642 | Find $ a_{ 43 } $ of an arithmetic progression if $ a_1 = -30 ~~ \text{and} ~~ d = 8 $. | 1 |
| 9643 | Find $ a_{ 129 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 13 }{ 5 } \right) $. | 1 |
| 9644 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9645 | Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9646 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9647 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = -11 $. | 1 |
| 9648 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9649 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 9650 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
