Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 1351 | Find $ a_{ 42 } $ of an arithmetic progression if $ a_1 = 4000000 ~~ \text{and} ~~ d = 1000000 $. | 4 |
| 1352 | Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 10 $. | 4 |
| 1353 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1354 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1355 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 1025 ~~ \text{and} ~~ d = 500 $. | 4 |
| 1356 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1357 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 99 ~~ \text{and} ~~ d = -1 $. | 4 |
| 1358 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 0 $. | 4 |
| 1359 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 1500 ~~ \text{and} ~~ d = 100 $. | 4 |
| 1360 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 28000 ~~ \text{and} ~~ d = 500 $. | 4 |
| 1361 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 4 |
| 1362 | Find $ S_{ 37 } $ ( sum of first $ 37 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1363 | Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = -2 $. | 4 |
| 1364 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 25 $. | 4 |
| 1365 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 51 ~~ \text{and} ~~ d = \left( -3 \right) $. | 4 |
| 1366 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 42 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1367 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1368 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 9 $. | 4 |
| 1369 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1370 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 30 $. | 4 |
| 1371 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1372 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $. | 4 |
| 1373 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1374 | $$ a_1 = 4 ~~,~~ d = 3 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1375 | $$ a_1 = 3 ~~,~~ d = 3 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1376 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1377 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 4050 ~~ \text{and} ~~ d = 50 $. | 4 |
| 1378 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 4050 ~~ \text{and} ~~ d = 50 $. | 4 |
| 1379 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = -3 $. | 4 |
| 1380 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 4 } ~~ \text{and} ~~ d = 8 $. | 4 |
| 1381 | Find $ S_{ 90 } $ ( sum of first $ 90 $ terms ) of arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = 75 $. | 4 |
| 1382 | Find $ a_{ 51 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $. | 4 |
| 1383 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = \frac{ 11 }{ 10 } $. | 4 |
| 1384 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 2468910 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1385 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = 3 $. | 4 |
| 1386 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 4 } ~~ \text{and} ~~ d = -\frac{ 1 }{ 8 } $. | 4 |
| 1387 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -5 \right) $. | 4 |
| 1388 | $$ a_1 = 47 ~,~ d = -47 ~,~ a_n = 47 ~,~ n = ? $$ | 4 |
| 1389 | $$ a_{ 12 } = -17 ~~,~~ S_{ 12 } = -110 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 4 |
| 1390 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = -2 $. | 4 |
| 1391 | Find $ S_{ 400 } $ ( sum of first $ 400 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 4 |
| 1392 | Find $ a_{ 27 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -6 \right) $. | 4 |
| 1393 | Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -6 \right) $. | 4 |
| 1394 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 3 $. | 4 |
| 1395 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 9 $. | 4 |
| 1396 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -9 \right) $. | 4 |
| 1397 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $. | 4 |
| 1398 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = -11 $. | 4 |
| 1399 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 4 $. | 4 |
| 1400 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 4 $. | 4 |
