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
4851	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 9 $.	2
4852	Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $.	2
4853	Find $ a_{ 67 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 7 $.	2
4854	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 6 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 6 } \right) $.	2
4855	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 6 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 6 } \right) $.	2
4856	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 6 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 6 } \right) $.	2
4857	Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4858	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 648 ~~ \text{and} ~~ d = \frac{ 37 }{ 12 } $.	2
4859	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 648 ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $.	2
4860	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $.	2
4861	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 1 $.	2
4862	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
4863	Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 6 $.	2
4864	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 11 $.	2
4865	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
4866	Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $.	2
4867	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 4 $.	2
4868	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 4 $.	2
4869	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 3 $.	2
4870	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 2 }{ 3 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $.	2
4871	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 10 $.	2
4872	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 160 ~~ \text{and} ~~ d = 16 $.	2
4873	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \left( -6 \right) $.	2
4874	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 17 }{ 4 } ~~ \text{and} ~~ d = \frac{ 3 }{ 10 } $.	2
4875	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4876	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4877	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $.	2
4878	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 2 $.	2
4879	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4880	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $.	2
4881	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 4 $.	2
4882	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
4883	Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
4884	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $.	2
4885	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 3 $.	2
4886	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
4887	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -50 ~~ \text{and} ~~ d = 12 $.	2
4888	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = \left( -6 \right) $.	2
4889	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 6 $.	2
4890	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 3 $.	2
4891	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 4 } ~~ \text{and} ~~ d = -\frac{ 1 }{ 4 } $.	2
4892	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	2
4893	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 2 $.	2
4894	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -1 \right) $.	2
4895	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 2 $.	2
4896	Find $ a_{ 47 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4897	Find $ a_{ 84 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.	2
4898	Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	2
4899	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $.	2
4900	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = \left( -7 \right) $.	2