Arithmetic sequences
(the database of solved problems)
All the problems and solutions shown below were generated using the Arithmetic sequences.
| ID |
Problem |
Count |
| 901 | Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 5 |
| 902 | Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 5 |
| 903 | Find $ a_{ 63 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $. | 5 |
| 904 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 2 $. | 5 |
| 905 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 13500 ~~ \text{and} ~~ d = 500 $. | 5 |
| 906 | Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = \left( -4 \right) $. | 5 |
| 907 | $$ a_1 = 3 ~,~ d = 2 ~,~ a_n = 100 ~,~ n = ? $$ | 5 |
| 908 | Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 5 |
| 909 | Find $ S_{ 49 } $ ( sum of first $ 49 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $. | 5 |
| 910 | Find $ a_{ 63 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 5 $. | 5 |
| 911 | Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 5 $. | 5 |
| 912 | $$ a_1 = 23 ~,~ d = 7 ~,~ S_n = 3735 ~,~ n = ? $$ | 5 |
| 913 | Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 9 $. | 5 |
| 914 | Find $ S_{ 37 } $ ( sum of first $ 37 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 9 $. | 5 |
| 915 | Find $ a_{ 101 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 5 |
| 916 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = 3 $. | 5 |
| 917 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 15 $. | 5 |
| 918 | Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \left( -5 \right) $. | 5 |
| 919 | Find $ S_{ 90 } $ ( sum of first $ 90 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 100 $. | 5 |
| 920 | Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = 384 ~~ \text{and} ~~ d = 384 $. | 5 |
| 921 | Find $ S_{ 51 } $ ( sum of first $ 51 $ terms ) of arithmetic progression if $ a_1 = 384 ~~ \text{and} ~~ d = 384 $. | 5 |
| 922 | Find $ S_{ 111 } $ ( sum of first $ 111 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $. | 5 |
| 923 | Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 0 $. | 5 |
| 924 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 7 $. | 5 |
| 925 | $$ a_1 = 1 ~,~ d = 2 ~,~ a_n = 24 ~,~ n = ? $$ | 5 |
| 926 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = \left( -6 \right) $. | 5 |
| 927 | Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $. | 5 |
| 928 | Find $ a_{ 150 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 5 |
| 929 | Find $ S_{ 150 } $ ( sum of first $ 150 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $. | 5 |
| 930 | Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $. | 5 |
| 931 | $$ a_{ 7 } = 8 ~~,~~ S_{ 10 } = 65 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 5 |
| 932 | $$ a_1 = 2 ~,~ d = 1 ~,~ S_n = 10 ~,~ n = ? $$ | 5 |
| 933 | $$ a_1 = 27 ~~,~~ d = 5 ~~,~~ a_1 = ? ~~,~~ d = ? $$ | 5 |
| 934 | $$ a_1 = 20000 ~,~ d = \frac{ 1 }{ 5 } ~,~ a_n = 475 ~,~ n = ? $$ | 5 |
| 935 | Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $. | 5 |
| 936 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $. | 5 |
| 937 | Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 5 |
| 938 | Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -1 \right) $. | 5 |
| 939 | Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -9 \right) $. | 5 |
| 940 | Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 2 $. | 5 |
| 941 | Find $ S_{ 300 } $ ( sum of first $ 300 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $. | 5 |
| 942 | Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 350 ~~ \text{and} ~~ d = 2 $. | 5 |
| 943 | Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 4 $. | 5 |
| 944 | Find $ a_{ 147 } $ of an arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = 1 $. | 5 |
| 945 | Find $ S_{ 147 } $ ( sum of first $ 147 $ terms ) of arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = 1 $. | 5 |
| 946 | Find $ S_{ 3000 } $ ( sum of first $ 3000 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $. | 5 |
| 947 | Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $. | 5 |
| 948 | Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 5 $. | 5 |
| 949 | Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $. | 5 |
| 950 | Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 85 ~~ \text{and} ~~ d = \left( -6 \right) $. | 5 |
