Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 8401 | Find $ a_{ 570 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -17 \right) $. | 1 |
| 8402 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8403 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8404 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -\frac{ 1 }{ 16 } ~~ \text{and} ~~ d = 9 $. | 1 |
| 8405 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 32 $. | 1 |
| 8406 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 1 |
| 8407 | Find common difference $ d $ of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ a_{ 5 } = 324 $. | 1 |
| 8408 | $$ a_1 = -5 ~,~ d = 3 ~,~ S_n = 203 ~,~ n = ? $$ | 1 |
| 8409 | Find $ a_{ 77 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8410 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = \left( -64 \right) $. | 1 |
| 8411 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8412 | Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8413 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 29 $. | 1 |
| 8414 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8415 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8416 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8417 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 8418 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -39 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8419 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8420 | Find $ a_1 $ (first term of arithmetic progression) if $ d = \frac{ 3 }{ 5 } ~~ \text{and} ~~ a_{ 21 } = -\frac{ 7 }{ 5 } $. | 1 |
| 8421 | Find $ a_1 $ (first term of arithmetic progression) if $ d = \frac{ 11 }{ 10 } ~~ \text{and} ~~ a_{ 18 } = \frac{ 137 }{ 5 } $. | 1 |
| 8422 | Find $ a_1 $ (first term of arithmetic progression) if $ d = \frac{ 9 }{ 5 } ~~ \text{and} ~~ a_{ 12 } = \frac{ 143 }{ 5 } $. | 1 |
| 8423 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = \frac{ 33 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 8424 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $. | 1 |
| 8425 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $. | 1 |
| 8426 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8427 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $. | 1 |
| 8428 | Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 6 $. | 1 |
| 8429 | Find $ S_{ 41 } $ ( sum of first $ 41 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 6 $. | 1 |
| 8430 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $. | 1 |
| 8431 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 212 ~~ \text{and} ~~ d = 106 $. | 1 |
| 8432 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = -5 $. | 1 |
| 8433 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 8434 | Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8435 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 800 ~~ \text{and} ~~ d = 55 $. | 1 |
| 8436 | $$ a_{ 3 } = 24 ~~,~~ S_{ 6 } = 51 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8437 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 9 ~~ \text{and} ~~ a_{ 3 } = 24 $. | 1 |
| 8438 | Find common difference $ d $ of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ a_{ 3 } = 24 $. | 1 |
| 8439 | $$ a_1 = 4 ~~,~~ d = 3 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8440 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8441 | Find $ a_1 $ (first term of arithmetic progression) if $ d = -5 ~~ \text{and} ~~ a_{ 7 } = 58 $. | 1 |
| 8442 | $$ a_1 = 88 ~,~ d = -5 ~,~ S_n = 34 ~,~ n = ? $$ | 1 |
| 8443 | Find $ S_{ 119 } $ ( sum of first $ 119 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8444 | Find $ S_{ 401 } $ ( sum of first $ 401 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8445 | Find $ S_{ 119 } $ ( sum of first $ 119 $ terms ) of arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8446 | Find $ S_{ 74 } $ ( sum of first $ 74 $ terms ) of arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8447 | Find $ S_{ 118 } $ ( sum of first $ 118 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8448 | Find $ S_{ 119 } $ ( sum of first $ 119 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8449 | Find $ S_{ 75 } $ ( sum of first $ 75 $ terms ) of arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8450 | Find $ S_{ 28 } $ ( sum of first $ 28 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
