Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 9901 | Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $. | 1 |
| 9902 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 44 ~~ \text{and} ~~ d = -3 $. | 1 |
| 9903 | $$ a_1 = 11 ~,~ d = 4 ~,~ a_n = 435 ~,~ n = ? $$ | 1 |
| 9904 | Find $ a_{ 68 } $ of an arithmetic progression if $ a_1 = 43 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9905 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9906 | $$ a_1 = 1 ~,~ d = 7 ~,~ a_n = 127 ~,~ n = ? $$ | 1 |
| 9907 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 7 $. | 1 |
| 9908 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -9 \right) $. | 1 |
| 9909 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9910 | Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9911 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -22 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 9912 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = \left( -15 \right) $. | 1 |
| 9913 | $$ a_1 = 4 ~,~ d = 6 ~,~ a_n = 668 ~,~ n = ? $$ | 1 |
| 9914 | Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = \frac{ 41 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $. | 1 |
| 9915 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 17 $. | 1 |
| 9916 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 20 $. | 1 |
| 9917 | Find $ S_{ 33 } $ ( sum of first $ 33 $ terms ) of arithmetic progression if $ a_1 = 483 ~~ \text{and} ~~ d = -21 $. | 1 |
| 9918 | Find $ a_{ 72 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9919 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9920 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9921 | Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = -24 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 9922 | Find $ a_{ 77 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 26 $. | 1 |
| 9923 | Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9924 | Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 9 $. | 1 |
| 9925 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 9926 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 84 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9927 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 84 ~~ \text{and} ~~ d = 28 $. | 1 |
| 9928 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9929 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 180000 ~~ \text{and} ~~ d = -800 $. | 1 |
| 9930 | $$ d = -800 ~,~ a_n = 6 ~,~ S_n = 180000 ~,~ n = ? $$ | 1 |
| 9931 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9932 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -3 $. | 1 |
| 9933 | Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 1 |
| 9934 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9935 | Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9936 | Find $ S_{ 34 } $ ( sum of first $ 34 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $. | 1 |
| 9937 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 1 |
| 9938 | Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 3 $. | 1 |
| 9939 | Find $ S_{ 97 } $ ( sum of first $ 97 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9940 | Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 0 $. | 1 |
| 9941 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9942 | Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $. | 1 |
| 9943 | Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 21 $. | 1 |
| 9944 | Find $ a_{ 67 } $ of an arithmetic progression if $ a_1 = 27 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9945 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 5 } ~~ \text{and} ~~ d = \left( -\frac{ 2 }{ 3 } \right) $. | 1 |
| 9946 | Find $ S_{ 77 } $ ( sum of first $ 77 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 2 $. | 1 |
| 9947 | Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -7 $. | 1 |
| 9948 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 60000 ~~ \text{and} ~~ d = 36000 $. | 1 |
| 9949 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -15 ~~ \text{and} ~~ d = 5 $. | 1 |
| 9950 | Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 5 $. | 1 |
