Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 7101 | Find $ S_{ 67 } $ ( sum of first $ 67 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7102 | $$ a_1 = 32 ~~,~~ d = 3 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 1 |
| 7103 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 1357 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7104 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 9 $. | 1 |
| 7105 | Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7106 | Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 38 ~~ \text{and} ~~ d = 10 $. | 1 |
| 7107 | $$ a_1 = 12 ~,~ a_n = 80 ~,~ S_n = 1610 ~,~ n = ? $$ | 1 |
| 7108 | Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -4 \right) $. | 1 |
| 7109 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7110 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 758 ~~ \text{and} ~~ d = 78 $. | 1 |
| 7111 | $$ a_1 = 2 ~,~ d = 7 ~,~ S_n = 872 ~,~ n = ? $$ | 1 |
| 7112 | Find $ S_{ 209 } $ ( sum of first $ 209 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7113 | Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 9 $. | 1 |
| 7114 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 52 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7115 | Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 52 ~~ \text{and} ~~ d = -3 $. | 1 |
| 7116 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 5000 ~~ \text{and} ~~ d = 5000 $. | 1 |
| 7117 | Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7118 | Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7119 | Find $ a_{ 400 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7120 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 7 $. | 1 |
| 7121 | Find $ a_{ 660 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7122 | Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7123 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 220 $. | 1 |
| 7124 | Find $ a_{ 71 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -2 \right) $. | 1 |
| 7125 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = -1 $. | 1 |
| 7126 | Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $. | 1 |
| 7127 | Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7128 | Find $ a_{ 76 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7129 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7130 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -7 \right) $. | 1 |
| 7131 | Find common difference $ d $ of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ a_{ 2 } = -\frac{ 3 }{ 4 } $. | 1 |
| 7132 | $$ a_1 = 7 ~,~ d = 5 ~,~ a_n = 11 ~,~ n = ? $$ | 1 |
| 7133 | Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 44 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7134 | $$ a_1 = 20 ~,~ d = -4 ~,~ a_n = -96 ~,~ n = ? $$ | 1 |
| 7135 | Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 8 $. | 1 |
| 7136 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 4 $. | 1 |
| 7137 | Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = \left( -3 \right) $. | 1 |
| 7138 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 0 $. | 1 |
| 7139 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7140 | Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 6 $. | 1 |
| 7141 | Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $. | 1 |
| 7142 | Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7143 | Find $ S_{ 42 } $ ( sum of first $ 42 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7144 | Find $ a_{ 44 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $. | 1 |
| 7145 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7146 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = -\frac{ 5 }{ 2 } $. | 1 |
| 7147 | Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $. | 1 |
| 7148 | Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 91 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7149 | Find $ a_{ 365 } $ of an arithmetic progression if $ a_1 = 91 ~~ \text{and} ~~ d = 1 $. | 1 |
| 7150 | Find $ S_{ 365 } $ ( sum of first $ 365 $ terms ) of arithmetic progression if $ a_1 = 91 ~~ \text{and} ~~ d = 1 $. | 1 |
