Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7401 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7402 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = \left( -45 \right) $. | 1 |
| 7403 | Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7404 | Find $ S_{ 80 } $ ( sum of first $ 80 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7405 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7406 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = \frac{ 4 }{ 5 } $. | 1 |
| 7407 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 4375 ~~ \text{and} ~~ d = \frac{ 1 }{ 5 } $. | 1 |
| 7408 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = \frac{ 16 }{ 5 } ~~ \text{and} ~~ d = \frac{ 13 }{ 5 } $. | 1 |
| 7409 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 7410 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7411 | Find $ S_{ 38 } $ ( sum of first $ 38 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7412 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7413 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7414 | Find $ S_{ 36 } $ ( sum of first $ 36 $ terms ) of arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = 10 $. | 1 |
| 7415 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -\frac{ 11 }{ 10 } \right) $. | 1 |
| 7416 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7417 | Find $ a_{ 112 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7418 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 32 $. | 1 |
| 7419 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = -2 $. | 1 |
| 7420 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7421 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7422 | Find $ S_{ 67 } $ ( sum of first $ 67 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7423 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7424 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7425 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 14 $. | 1 |
| 7426 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 7427 | Find $ a_{ 567 } $ of an arithmetic progression if $ a_1 = -\frac{ 196 }{ 25 } ~~ \text{and} ~~ d = \frac{ 7 }{ 5 } $. | 1 |
| 7428 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 7 ~~ \text{and} ~~ a_{ 35 } = 24 $. | 1 |
| 7429 | Find $ a_1 $ (first term of arithmetic progression) if $ d = 7 ~~ \text{and} ~~ a_{ 35 } = 24 $. | 1 |
| 7430 | $$ a_1 = -214 ~,~ d = 7 ~,~ S_n = 58 ~,~ n = ? $$ | 1 |
| 7431 | $$ a_1 = -214 ~,~ d = 7 ~,~ a_n = 58 ~,~ n = ? $$ | 1 |
| 7432 | Find $ S_{ 58 } $ ( sum of first $ 58 $ terms ) of arithmetic progression if $ a_1 = -214 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7433 | $$ a_1 = 37 ~,~ d = 2 ~,~ a_n = 273 ~,~ n = ? $$ | 1 |
| 7434 | $$ a_1 = 16000 ~,~ d = 1200 ~,~ S_n = 500000 ~,~ n = ? $$ | 1 |
| 7435 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 16000 ~~ \text{and} ~~ d = 1200 $. | 1 |
| 7436 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 16000 ~~ \text{and} ~~ d = 1200 $. | 1 |
| 7437 | Find $ S_{ 33 } $ ( sum of first $ 33 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7438 | Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 33 $. | 1 |
| 7439 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 7440 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 27 ~~ \text{and} ~~ d = 19 $. | 1 |
| 7441 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 7442 | Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 7443 | $$ a_1 = 3 ~,~ d = 3 ~,~ a_n = 363 ~,~ n = ? $$ | 1 |
| 7444 | Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7445 | Find $ S_{ 65 } $ ( sum of first $ 65 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7446 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7447 | $$ a_1 = -18 ~,~ a_n = -102 ~,~ S_n = -780 ~,~ n = ? $$ | 1 |
| 7448 | $$ a_1 = 4000 ~,~ a_n = 1000 ~,~ S_n = 165000 ~,~ n = ? $$ | 1 |
| 7449 | $$ a_1 = 97 ~,~ d = -4 ~,~ a_n = 25 ~,~ n = ? $$ | 1 |
| 7450 | $$ a_1 = 1 ~,~ d = 1 ~,~ a_n = 24 ~,~ n = ? $$ | 1 |
