Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 8801 | $$ a_1 = 4 ~~,~~ d = 2 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 8802 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8803 | Find $ a_{ 57 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8804 | Find $ a_{ 57 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8805 | Find $ a_{ 57 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8806 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8807 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8808 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \frac{ 1 }{ 5 } $. | 1 |
| 8809 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \frac{ 3 }{ 10 } $. | 1 |
| 8810 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -130 ~~ \text{and} ~~ d = 40 $. | 1 |
| 8811 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 1 $. | 1 |
| 8812 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8813 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -52 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8814 | Find $ a_{ 102 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8815 | Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 7 $. | 1 |
| 8816 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8817 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 15913 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8818 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -50 \right) $. | 1 |
| 8819 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 6 $. | 1 |
| 8820 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8821 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = -20 ~~ \text{and} ~~ d = -2 $. | 1 |
| 8822 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 8823 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 9 $. | 1 |
| 8824 | Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8825 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 4 $. | 1 |
| 8826 | Find $ S_{ 80 } $ ( sum of first $ 80 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8827 | Find $ S_{ 27 } $ ( sum of first $ 27 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 8828 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8829 | $$ a_1 = -3 ~,~ d = 2 ~,~ a_n = 55 ~,~ n = ? $$ | 1 |
| 8830 | $$ a_1 = 3 ~,~ d = 5 ~,~ S_n = 20 ~,~ n = ? $$ | 1 |
| 8831 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 120 $. | 1 |
| 8832 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -34 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8833 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 80 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8834 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 80 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 8835 | Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8836 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 10 $. | 1 |
| 8837 | Find $ a_{ 85 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8838 | Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 8839 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 8840 | Find $ S_{ 41 } $ ( sum of first $ 41 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 8 $. | 1 |
| 8841 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 1 |
| 8842 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -\frac{ 3 }{ 2 } \right) $. | 1 |
| 8843 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 8844 | Find $ S_{ 210 } $ ( sum of first $ 210 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 0 $. | 1 |
| 8845 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 293 ~~ \text{and} ~~ d = 12 $. | 1 |
| 8846 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 8847 | $$ a_1 = 3 ~,~ d = 5 ~,~ a_n = 203 ~,~ n = ? $$ | 1 |
| 8848 | $$ a_1 = 9 ~,~ d = 3 ~,~ a_n = 19683 ~,~ n = ? $$ | 1 |
| 8849 | Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = \frac{ 11 }{ 2 } ~~ \text{and} ~~ d = -\frac{ 5 }{ 2 } $. | 1 |
| 8850 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
