Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 8551 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = -52 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 8552 | Find $ a_{ 43 } $ of an arithmetic progression if $ a_1 = -28 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 8553 | Find $ S_{ 43 } $ ( sum of first $ 43 $ terms ) of arithmetic progression if $ a_1 = -28 ~~ \text{and} ~~ d = -3 $. | 1 |
| 8554 | Find $ S_{ 97 } $ ( sum of first $ 97 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8555 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8556 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8557 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = -7 $. | 1 |
| 8558 | Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 8559 | Find $ S_{ 257 } $ ( sum of first $ 257 $ terms ) of arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8560 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -32 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8561 | Find $ a_{ 87 } $ of an arithmetic progression if $ a_1 = 95 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8562 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 8563 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8564 | Find $ a_{ 83 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8565 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8566 | Find $ a_{ 80 } $ of an arithmetic progression if $ a_1 = 80 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8567 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8568 | Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8569 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 1500 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8570 | Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -15 \right) $. | 1 |
| 8571 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $. | 1 |
| 8572 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 8573 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 4 } ~~ \text{and} ~~ d = 10 $. | 1 |
| 8574 | Find $ a_{ 88 } $ of an arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 250 $. | 1 |
| 8575 | Find $ S_{ 87 } $ ( sum of first $ 87 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 250 $. | 1 |
| 8576 | Find $ S_{ 500 } $ ( sum of first $ 500 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8577 | $$ a_1 = 2 ~~,~~ d = 1 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8578 | $$ a_1 = -200 ~~,~~ d = 200 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8579 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $. | 1 |
| 8580 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8581 | $$ a_{ 10 } = -46 ~~,~~ S_{ 20 } = -1010 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8582 | Find $ S_{ 29 } $ ( sum of first $ 29 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = -9 $. | 1 |
| 8583 | Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 90 ~~ \text{and} ~~ d = 15 $. | 1 |
| 8584 | $$ a_{ 21 } = -31 ~~,~~ S_{ 26 } = -806 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8585 | Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 80 ~~ \text{and} ~~ d = 25 $. | 1 |
| 8586 | $$ a_{ 17 } = -277 ~~,~~ S_{ 30 } = -7590 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8587 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 75 ~~ \text{and} ~~ d = 25 $. | 1 |
| 8588 | $$ a_{ 16 } = 253 ~~,~~ S_{ 30 } = 7305 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8589 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -32 ~~ \text{and} ~~ d = 19 $. | 1 |
| 8590 | Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 350 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8591 | Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 350 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8592 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8593 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8594 | Find $ S_{ 449 } $ ( sum of first $ 449 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8595 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 85 ~~ \text{and} ~~ d = -8 $. | 1 |
| 8596 | Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8597 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8598 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = \frac{ 2 }{ 5 } ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 8599 | Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = \frac{ 16 }{ 9 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 8600 | Find $ S_{ 2023 } $ ( sum of first $ 2023 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
