Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7951 | Find $ a_{ 59 } $ of an arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = 1726 $. | 1 |
| 7952 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -6 \right) $. | 1 |
| 7953 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 7954 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 7955 | Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = \left( -1 \right) $. | 1 |
| 7956 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = -1 $. | 1 |
| 7957 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7958 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7959 | $$ a_1 = 2 ~,~ d = 3 ~,~ a_n = 101 ~,~ n = ? $$ | 1 |
| 7960 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7961 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7962 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 34000 ~~ \text{and} ~~ d = 2250 $. | 1 |
| 7963 | Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 16 $. | 1 |
| 7964 | Find $ a_{ 69 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7965 | Find $ a_{ 43 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7966 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 43 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7967 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 7968 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 7969 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = -4 $. | 1 |
| 7970 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7971 | Find $ a_{ 93 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7972 | Find $ S_{ 93 } $ ( sum of first $ 93 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7973 | Find $ a_{ 992 } $ of an arithmetic progression if $ a_1 = -29 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7974 | Find $ a_{ 95 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7975 | Find $ a_{ 63 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = \left( -20 \right) $. | 1 |
| 7976 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7977 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7978 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7979 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 11 $. | 1 |
| 7980 | $$ a_1 = 500 ~,~ d = 250 ~,~ S_n = 10000 ~,~ n = ? $$ | 1 |
| 7981 | Find $ S_{ 188 } $ ( sum of first $ 188 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7982 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = -24 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7983 | $$ a_1 = -24 ~,~ d = 6 ~,~ a_n = 72 ~,~ n = ? $$ | 1 |
| 7984 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = -270 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7985 | $$ a_{ 32 } = -86 ~~,~~ S_{ 32 } = 224 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7986 | Find $ a_{ 62 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7987 | Find $ a_{ 53 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7988 | Find $ S_{ 53 } $ ( sum of first $ 53 $ terms ) of arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7989 | Find $ S_{ 62 } $ ( sum of first $ 62 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7990 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7991 | Find $ S_{ 38 } $ ( sum of first $ 38 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7992 | Find $ S_{ 34 } $ ( sum of first $ 34 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = -3 $. | 1 |
| 7993 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 30 $. | 1 |
| 7994 | Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 9 $. | 1 |
| 7995 | Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 7996 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -20 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 7997 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -5 \right) $. | 1 |
| 7998 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7999 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $. | 1 |
| 8000 | Find $ a_{ 150 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $. | 1 |
