Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9651 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9652 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9653 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 39 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9654 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 457 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9655 | Find $ S_{ 45 } $ ( sum of first $ 45 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = -5 $. | 1 |
| 9656 | Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9657 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9658 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9659 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9660 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9661 | Find $ a_{ 105 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9662 | Find $ a_{ 115 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9663 | Find $ a_{ 140 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9664 | Find $ a_{ 120 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9665 | Find $ a_{ 130 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9666 | Find $ a_{ 125 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9667 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9668 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 457 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9669 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 454 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9670 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 454 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9671 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 30 ~~ \text{and} ~~ a_{ 16 } = -419 $. | 1 |
| 9672 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9673 | Find $ S_{ 2 } $ ( sum of first $ 2 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 10 $. | 1 |
| 9674 | Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9675 | Find $ a_{ 298 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9676 | $$ a_1 = -2 ~,~ d = -3 ~,~ a_n = -44 ~,~ n = ? $$ | 1 |
| 9677 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9678 | $$ a_1 = 25 ~,~ d = 3 ~,~ S_n = 82 ~,~ n = ? $$ | 1 |
| 9679 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9680 | $$ a_1 = 25 ~,~ d = 3 ~,~ a_n = 12 ~,~ n = ? $$ | 1 |
| 9681 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 2000 ~~ \text{and} ~~ d = 500 $. | 1 |
| 9682 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 500 $. | 1 |
| 9683 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 12 $. | 1 |
| 9684 | $$ a_1 = -4 ~,~ d = 12 ~,~ S_n = 2000 ~,~ n = ? $$ | 1 |
| 9685 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 9686 | Find $ S_{ 365 } $ ( sum of first $ 365 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 9687 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 11000110 ~~ \text{and} ~~ d = 1101111 $. | 1 |
| 9688 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 2345698 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9689 | Find common difference $ d $ of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ a_{ 69 } = \frac{ 71 }{ 3 } $. | 1 |
| 9690 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $. | 1 |
| 9691 | $$ a_1 = 3 ~,~ d = 5 ~,~ a_n = 10 ~,~ n = ? $$ | 1 |
| 9692 | $$ a_1 = 3 ~,~ d = 4 ~,~ a_n = 20 ~,~ n = ? $$ | 1 |
| 9693 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = -100 ~~ \text{and} ~~ d = 15 $. | 1 |
| 9694 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 13 $. | 1 |
| 9695 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $. | 1 |
| 9696 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 5 } ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $. | 1 |
| 9697 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 39 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 9698 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -26 ~~ \text{and} ~~ d = 200 $. | 1 |
| 9699 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -\frac{ 46 }{ 5 } ~~ \text{and} ~~ d = \frac{ 9 }{ 10 } $. | 1 |
| 9700 | $$ a_{ 1 } = 53 ~~,~~ S_{ 1 } = 539 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
