Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 6901 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 2500 $. | 1 |
| 6902 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 3 $. | 1 |
| 6903 | Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 10 $. | 1 |
| 6904 | Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 6905 | $$ a_1 = -4 ~,~ d = -4 ~,~ a_n = 22 ~,~ n = ? $$ | 1 |
| 6906 | Find common difference $ d $ of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ a_{ 5 } = -40 $. | 1 |
| 6907 | $$ a_1 = -5 ~,~ d = -3 ~,~ S_n = 76 ~,~ n = ? $$ | 1 |
| 6908 | Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6909 | Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 1 $. | 1 |
| 6910 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 71 ~~ \text{and} ~~ d = 2 $. | 1 |
| 6911 | Find $ a_{ 48 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6912 | Find $ a_{ 48 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 6913 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 6914 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = -5 $. | 1 |
| 6915 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 70 ~~ \text{and} ~~ d = 6 $. | 1 |
| 6916 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 50 $. | 1 |
| 6917 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = 50 $. | 1 |
| 6918 | Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 6919 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = \left( -10 \right) $. | 1 |
| 6920 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 37 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 6921 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -\frac{ 29 }{ 5 } ~~ \text{and} ~~ d = \left( -8 \right) $. | 1 |
| 6922 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $. | 1 |
| 6923 | Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 4 $. | 1 |
| 6924 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $. | 1 |
| 6925 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 6926 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 6 $. | 1 |
| 6927 | Find $ S_{ 74 } $ ( sum of first $ 74 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = -\frac{ 9 }{ 10 } $. | 1 |
| 6928 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 43 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 6929 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 6930 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 3 }{ 25 } $. | 1 |
| 6931 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -\frac{ 7 }{ 2 } ~~ \text{and} ~~ d = 5 $. | 1 |
| 6932 | Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = -68 ~~ \text{and} ~~ d = 4 $. | 1 |
| 6933 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 1200 ~~ \text{and} ~~ d = 600 $. | 1 |
| 6934 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 1200 ~~ \text{and} ~~ d = 550 $. | 1 |
| 6935 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 0 $. | 1 |
| 6936 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 8 $. | 1 |
| 6937 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 8 $. | 1 |
| 6938 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 8 $. | 1 |
| 6939 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 1 |
| 6940 | Find $ a_{ 78 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 6941 | Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 7 $. | 1 |
| 6942 | Find $ S_{ 2022 } $ ( sum of first $ 2022 $ terms ) of arithmetic progression if $ a_1 = 2021 ~~ \text{and} ~~ d = 2020 $. | 1 |
| 6943 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $. | 1 |
| 6944 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 6945 | Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 3 $. | 1 |
| 6946 | Find $ a_{ 77 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 6947 | Find $ S_{ 77 } $ ( sum of first $ 77 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 6948 | $$ a_1 = 4 ~,~ d = 2 ~,~ S_n = 21 ~,~ n = ? $$ | 1 |
| 6949 | $$ a_1 = 4 ~,~ d = 2 ~,~ a_n = 21 ~,~ n = ? $$ | 1 |
| 6950 | Find $ a_{ 44 } $ of an arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = 5 $. | 1 |
