Arithmetic sequences

(the database of solved problems)

All the problems and solutions shown below were generated using the Arithmetic sequences.

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ID	Problem	Count
4201	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 3 $.	2
4202	Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $.	2
4203	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -262 ~~ \text{and} ~~ d = 0 $.	2
4204	Find $ a_{ 27 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.	2
4205	Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = 56 ~~ \text{and} ~~ d = -10 $.	2
4206	Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 5 $.	2
4207	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = \frac{ 103 }{ 6 } ~~ \text{and} ~~ d = \left( -\frac{ 85 }{ 54 } \right) $.	2
4208	Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = \frac{ 103 }{ 6 } ~~ \text{and} ~~ d = \left( -\frac{ 85 }{ 54 } \right) $.	2
4209	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 54 ~~ \text{and} ~~ d = 1 $.	2
4210	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 100 $.	2
4211	Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	2
4212	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 8 $.	2
4213	Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = -\frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \frac{ 5 }{ 18 } $.	2
4214	Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 190 ~~ \text{and} ~~ d = 21.88 $.	2
4215	Find $ S_{ 3650 } $ ( sum of first $ 3650 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $.	2
4216	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = -2 $.	2
4217	Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 5 $.	2
4218	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 79 $.	2
4219	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.	2
4220	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 58 }{ 5 } ~~ \text{and} ~~ d = \frac{ 14 }{ 5 } $.	2
4221	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 2 $.	2
4222	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 2 $.	2
4223	Find $ S_{ 43 } $ ( sum of first $ 43 $ terms ) of arithmetic progression if $ a_1 = \frac{ 4 }{ 5 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $.	2
4224	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 2250 ~~ \text{and} ~~ d = 150 $.	2
4225	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $.	2
4226	Find $ a_{ 47 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $.	2
4227	Find $ S_{ 47 } $ ( sum of first $ 47 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $.	2
4228	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 2 $.	2
4229	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $.	2
4230	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 206 ~~ \text{and} ~~ d = 6 $.	2
4231	Find $ a_1 $ (first term of arithmetic progression) if $ d = 7 ~~ \text{and} ~~ S_{ 38 } = 8303 $.	2
4232	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4233	Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = -5 $.	2
4234	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 0 $.	2
4235	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = 15 $.	2
4236	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 6 $.	2
4237	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1200000 ~~ \text{and} ~~ d = 400000 $.	2
4238	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $.	2
4239	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 100000 ~~ \text{and} ~~ d = 100000 $.	2
4240	Find $ S_{ 59 } $ ( sum of first $ 59 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 19 $.	2
4241	Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 19 $.	2
4242	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 26 $.	2
4243	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 26 $.	2
4244	Find $ S_{ 230 } $ ( sum of first $ 230 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 26 $.	2
4245	Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 34 ~~ \text{and} ~~ d = 57 $.	2
4246	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 34 ~~ \text{and} ~~ d = 47 $.	2
4247	Find $ a_{ 71 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 9 $.	2
4248	Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	2
4249	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -34 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
4250	Find $ S_{ 81 } $ ( sum of first $ 81 $ terms ) of arithmetic progression if $ a_1 = \frac{ 8 }{ 9 } ~~ \text{and} ~~ d = \frac{ 4 }{ 9 } $.	2