Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 10151 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 4 $. | 1 |
| 10152 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 10153 | Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 10154 | Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 1 $. | 1 |
| 10155 | Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = -60 ~~ \text{and} ~~ d = 10 $. | 1 |
| 10156 | $$ a_1 = 5 ~,~ d = -1 ~,~ a_n = 9 ~,~ n = ? $$ | 1 |
| 10157 | Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $. | 1 |
| 10158 | Find $ S_{ 39 } $ ( sum of first $ 39 $ terms ) of arithmetic progression if $ a_1 = 2000 ~~ \text{and} ~~ d = 200 $. | 1 |
| 10159 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10160 | Find $ S_{ 34 } $ ( sum of first $ 34 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 14 $. | 1 |
| 10161 | Find $ S_{ 42 } $ ( sum of first $ 42 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 9 $. | 1 |
| 10162 | Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = -5 $. | 1 |
| 10163 | Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 370 ~~ \text{and} ~~ d = 15 $. | 1 |
| 10164 | Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 15 $. | 1 |
| 10165 | Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 75 ~~ \text{and} ~~ d = 15 $. | 1 |
| 10166 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 75 ~~ \text{and} ~~ d = 15 $. | 1 |
| 10167 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 190 ~~ \text{and} ~~ d = 15 $. | 1 |
| 10168 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 10169 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 1 |
| 10170 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 1 |
| 10171 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10172 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 8 $. | 1 |
| 10173 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $. | 1 |
| 10174 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 10175 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 10176 | Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \frac{ 11 }{ 10 } $. | 1 |
| 10177 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10178 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 7 $. | 1 |
| 10179 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 10180 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 87 }{ 10 } ~~ \text{and} ~~ d = \frac{ 31 }{ 10 } $. | 1 |
| 10181 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = \frac{ 87 }{ 10 } ~~ \text{and} ~~ d = \frac{ 31 }{ 10 } $. | 1 |
| 10182 | Find $ S_{ 5050 } $ ( sum of first $ 5050 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 50 $. | 1 |
| 10183 | Find $ S_{ 5050 } $ ( sum of first $ 5050 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 10 $. | 1 |
| 10184 | Find $ S_{ 5050 } $ ( sum of first $ 5050 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 1 $. | 1 |
| 10185 | Find $ S_{ 5050 } $ ( sum of first $ 5050 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $. | 1 |
| 10186 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 1000 $. | 1 |
| 10187 | Find $ S_{ 10000 } $ ( sum of first $ 10000 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $. | 1 |
| 10188 | Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $. | 1 |
| 10189 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 7 $. | 1 |
| 10190 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 5000 ~~ \text{and} ~~ d = 5000 $. | 1 |
| 10191 | Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 4 $. | 1 |
| 10192 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -37 ~~ \text{and} ~~ d = \left( -20 \right) $. | 1 |
| 10193 | Find $ S_{ 71 } $ ( sum of first $ 71 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 8 $. | 1 |
| 10194 | Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 10195 | Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = -24 ~~ \text{and} ~~ d = 3 $. | 1 |
| 10196 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 5 $. | 1 |
| 10197 | $$ a_1 = 7 ~,~ d = 7 ~,~ a_n = 217 ~,~ n = ? $$ | 1 |
| 10198 | $$ a_1 = 19 ~,~ d = -8 ~,~ a_n = -221 ~,~ n = ? $$ | 1 |
| 10199 | $$ a_1 = 15 ~,~ d = 8 ~,~ a_n = 297 ~,~ n = ? $$ | 1 |
| 10200 | $$ a_1 = -15 ~,~ d = 8 ~,~ a_n = 297 ~,~ n = ? $$ | 1 |
