Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 951 | Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 525000 ~~ \text{and} ~~ d = 15000 $. | 5 |
| 952 | Find $ a_{ 400 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 5 |
| 953 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 4 } \right) $. | 5 |
| 954 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 3 $. | 5 |
| 955 | Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 1024 $. | 5 |
| 956 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 252 $. | 5 |
| 957 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 600 ~~ \text{and} ~~ d = -150 $. | 5 |
| 958 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = -1 $. | 5 |
| 959 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 4 $. | 5 |
| 960 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = \left( -8 \right) $. | 5 |
| 961 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 5 |
| 962 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 4 $. | 5 |
| 963 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 100 $. | 5 |
| 964 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 7 $. | 5 |
| 965 | Find $ a_{ 71 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -2 \right) $. | 5 |
| 966 | Find $ S_{ 84 } $ ( sum of first $ 84 $ terms ) of arithmetic progression if $ a_1 = 280 ~~ \text{and} ~~ d = 35 $. | 5 |
| 967 | Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 13 $. | 5 |
| 968 | Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 27 ~~ \text{and} ~~ d = 5 $. | 5 |
| 969 | Find $ S_{ 90 } $ ( sum of first $ 90 $ terms ) of arithmetic progression if $ a_1 = 135 ~~ \text{and} ~~ d = 45 $. | 5 |
| 970 | $$ a_1 = 3 ~,~ d = 6 ~,~ a_n = 1353 ~,~ n = ? $$ | 5 |
| 971 | $$ a_1 = -25 ~~,~~ d = 11 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 5 |
| 972 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -23 ~~ \text{and} ~~ d = 11 $. | 5 |
| 973 | $$ a_1 = 7 ~,~ d = 2 ~,~ a_n = 115 ~,~ n = ? $$ | 5 |
| 974 | Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 2 $. | 5 |
| 975 | Find $ a_{ 78 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 4 $. | 5 |
| 976 | Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $. | 5 |
| 977 | Find $ S_{ 42 } $ ( sum of first $ 42 $ terms ) of arithmetic progression if $ a_1 = 4000000 ~~ \text{and} ~~ d = 1000000 $. | 5 |
| 978 | Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 10 $. | 5 |
| 979 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $. | 5 |
| 980 | Find $ a_{ 87 } $ of an arithmetic progression if $ a_1 = -19 ~~ \text{and} ~~ d = 6 $. | 5 |
| 981 | Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = \frac{ 25 }{ 2 } ~~ \text{and} ~~ d = \frac{ 6 }{ 5 } $. | 5 |
| 982 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 25 }{ 2 } ~~ \text{and} ~~ d = \frac{ 6 }{ 5 } $. | 5 |
| 983 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = \frac{ 25 }{ 2 } ~~ \text{and} ~~ d = \frac{ 6 }{ 5 } $. | 5 |
| 984 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 26 ~~ \text{and} ~~ d = -3 $. | 5 |
| 985 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 5 $. | 5 |
| 986 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 4 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $. | 5 |
| 987 | $$ a_1 = 28000 ~,~ d = 500 ~,~ S_n = 37000 ~,~ n = ? $$ | 5 |
| 988 | $$ a_1 = 28000 ~,~ d = 500 ~,~ a_n = 37000 ~,~ n = ? $$ | 5 |
| 989 | Find $ S_{ 27 } $ ( sum of first $ 27 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 10 $. | 5 |
| 990 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 5 |
| 991 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 7 $. | 5 |
| 992 | Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 58 $. | 5 |
| 993 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 9 $. | 5 |
| 994 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 3 $. | 5 |
| 995 | Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 140 ~~ \text{and} ~~ d = 70 $. | 5 |
| 996 | Find $ S_{ 90 } $ ( sum of first $ 90 $ terms ) of arithmetic progression if $ a_1 = 140 ~~ \text{and} ~~ d = 70 $. | 5 |
| 997 | Find $ S_{ 500 } $ ( sum of first $ 500 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 30 $. | 5 |
| 998 | Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 1 $. | 5 |
| 999 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 4 $. | 5 |
| 1000 | $$ a_1 = 3 ~,~ d = 4 ~,~ S_n = 15 ~,~ n = ? $$ | 5 |
