Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7351 | Find $ a_{ 46 } $ of an arithmetic progression if $ a_1 = 1800 ~~ \text{and} ~~ d = 140 $. | 1 |
| 7352 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = \frac{ 13 }{ 4 } ~~ \text{and} ~~ d = \frac{ 71 }{ 100 } $. | 1 |
| 7353 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = \left( -30 \right) $. | 1 |
| 7354 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = \left( -30 \right) $. | 1 |
| 7355 | Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7356 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = -5 $. | 1 |
| 7357 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7358 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 7359 | Find common difference $ d $ of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ a_{ 6 } = -8 $. | 1 |
| 7360 | Find common difference $ d $ of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ a_{ 5 } = -8 $. | 1 |
| 7361 | Find $ a_{ 62 } $ of an arithmetic progression if $ a_1 = -27 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 7362 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7363 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7364 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 53 $. | 1 |
| 7365 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = \frac{ 8 }{ 5 } ~~ \text{and} ~~ d = \frac{ 23 }{ 10 } $. | 1 |
| 7366 | Find $ a_{ 500 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7367 | Find $ a_{ 2000 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $. | 1 |
| 7368 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 48 $. | 1 |
| 7369 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 48 $. | 1 |
| 7370 | Find $ a_{ 101 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7371 | Find $ S_{ 28 } $ ( sum of first $ 28 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 7372 | Find $ S_{ 837 } $ ( sum of first $ 837 $ terms ) of arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7373 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7374 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7375 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 7376 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7377 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7378 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 41 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7379 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 3 ~~ \text{and} ~~ a_{ 4 } = 162 $. | 1 |
| 7380 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 10 } ~~ \text{and} ~~ d = 1 $. | 1 |
| 7381 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7382 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 9 $. | 1 |
| 7383 | Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7384 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7385 | Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7386 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7387 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7388 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7389 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7390 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7391 | $$ a_1 = 6 ~~,~~ d = 4 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7392 | Find $ a_{ 51 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $. | 1 |
| 7393 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7394 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7395 | $$ a_1 = 28 ~,~ d = 4 ~,~ a_n = 100 ~,~ n = ? $$ | 1 |
| 7396 | $$ a_1 = 0 ~~,~~ d = -6 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7397 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = -6 $. | 1 |
| 7398 | $$ a_1 = -189 ~,~ d = -9 ~,~ a_n = 0 ~,~ n = ? $$ | 1 |
| 7399 | $$ a_1 = 43 ~,~ d = -13 ~,~ a_n = -100 ~,~ n = ? $$ | 1 |
| 7400 | $$ a_1 = 218 ~,~ d = 17 ~,~ a_n = 1000 ~,~ n = ? $$ | 1 |
