Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7201 | Find $ a_{ 72 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7202 | Find common difference $ d $ of arithmetic progression if $ a_1 = 33 ~~ \text{and} ~~ a_{ 40 } = 189 $. | 1 |
| 7203 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 33 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7204 | $$ a_1 = 19 ~,~ d = -6 ~,~ a_n = 33 ~,~ n = ? $$ | 1 |
| 7205 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 7206 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7207 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = -84 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7208 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 7209 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7210 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7211 | $$ a_1 = 27 ~,~ d = 1 ~,~ a_n = 56 ~,~ n = ? $$ | 1 |
| 7212 | $$ a_1 = 9 ~,~ d = 1 ~,~ a_n = 21 ~,~ n = ? $$ | 1 |
| 7213 | $$ a_1 = 46 ~,~ d = 1 ~,~ a_n = 20 ~,~ n = ? $$ | 1 |
| 7214 | $$ a_1 = 20 ~,~ d = 1 ~,~ a_n = 46 ~,~ n = ? $$ | 1 |
| 7215 | $$ a_1 = 18 ~,~ d = 1 ~,~ a_n = 33 ~,~ n = ? $$ | 1 |
| 7216 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7217 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 7218 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 14 $. | 1 |
| 7219 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 14 $. | 1 |
| 7220 | $$ a_1 = 8 ~,~ a_n = 9 ~,~ S_n = 56 ~,~ n = ? $$ | 1 |
| 7221 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7222 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = -3 $. | 1 |
| 7223 | $$ a_1 = 8 ~,~ d = 4 ~,~ a_n = 400 ~,~ n = ? $$ | 1 |
| 7224 | Find $ a_{ 99 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7225 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7226 | Find $ S_{ 41 } $ ( sum of first $ 41 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = -5 $. | 1 |
| 7227 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $. | 1 |
| 7228 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $. | 1 |
| 7229 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 7230 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 7231 | Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7232 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 13 $. | 1 |
| 7233 | Find $ a_{ 82 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 7234 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 15 $. | 1 |
| 7235 | Find $ S_{ 115 } $ ( sum of first $ 115 $ terms ) of arithmetic progression if $ a_1 = 845 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7236 | Find $ S_{ 111 } $ ( sum of first $ 111 $ terms ) of arithmetic progression if $ a_1 = 848 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7237 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7238 | Find $ S_{ 108 } $ ( sum of first $ 108 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7239 | Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7240 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7241 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = -3 $. | 1 |
| 7242 | $$ a_1 = 2 ~,~ d = 2 ~,~ a_n = 100 ~,~ n = ? $$ | 1 |
| 7243 | $$ a_1 = 3 ~,~ d = 2 ~,~ S_n = 1350 ~,~ n = ? $$ | 1 |
| 7244 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 7245 | Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7246 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 106 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 7247 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = -37 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7248 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -37 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7249 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = -37 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7250 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -37 ~~ \text{and} ~~ d = 4 $. | 1 |
