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
4751	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 300000 ~~ \text{and} ~~ d = 466667 $.	2
4752	Find $ S_{ 41 } $ ( sum of first $ 41 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 1 $.	2
4753	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $.	2
4754	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = -5 $.	2
4755	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
4756	Find $ a_{ 51 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = 8 $.	2
4757	Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 292 $.	2
4758	Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = -40 ~~ \text{and} ~~ d = 7 $.	2
4759	Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = -40 ~~ \text{and} ~~ d = 7 $.	2
4760	$$ a_1 = 9 ~~,~~ d = 5 ~~,~~ a_1 = ? ~~,~~ d = ? $$	2
4761	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -7 \right) $.	2
4762	$$ a_1 = -1 ~,~ d = 3 ~,~ a_n = 16 ~,~ n = ? $$	2
4763	Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 3 $.	2
4764	Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $.	2
4765	$$ a_1 = 22 ~,~ d = -4 ~,~ S_n = 0 ~,~ n = ? $$	2
4766	Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 72000 ~~ \text{and} ~~ d = 18000 $.	2
4767	Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = -\frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $.	2
4768	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $.	2
4769	Find $ S_{ 90 } $ ( sum of first $ 90 $ terms ) of arithmetic progression if $ a_1 = 4060 ~~ \text{and} ~~ d = 16 $.	2
4770	Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 4060 ~~ \text{and} ~~ d = 16 $.	2
4771	Find $ a_{ 189 } $ of an arithmetic progression if $ a_1 = 4060 ~~ \text{and} ~~ d = 16 $.	2
4772	Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 15 $.	2
4773	Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 10 $.	2
4774	Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 10 $.	2
4775	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = -138 ~~ \text{and} ~~ d = 6 $.	2
4776	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 1500000 ~~ \text{and} ~~ d = 70000 $.	2
4777	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -110 ~~ \text{and} ~~ d = 25 $.	2
4778	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = \frac{ 31 }{ 5 } ~~ \text{and} ~~ d = \frac{ 19 }{ 10 } $.	2
4779	Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $.	2
4780	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $.	2
4781	Find $ a_{ 46 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $.	2
4782	Find $ S_{ 150 } $ ( sum of first $ 150 $ terms ) of arithmetic progression if $ a_1 = -24 ~~ \text{and} ~~ d = 3 $.	2
4783	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -200 \right) $.	2
4784	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	2
4785	$$ a_1 = 4 ~~,~~ d = 2 ~~,~~ a_1 = ? ~~,~~ d = ? $$	2
4786	Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 3 $.	2
4787	Find $ a_{ 72 } $ of an arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = 66 $.	2
4788	Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = 66 $.	2
4789	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = 66 $.	2
4790	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = 66 $.	2
4791	Find $ S_{ 73 } $ ( sum of first $ 73 $ terms ) of arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = 2 $.	2
4792	Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 1 $.	2
4793	Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 1 $.	2
4794	Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = -10 $.	2
4795	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 7 $.	2
4796	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 50 $.	2
4797	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 50 $.	2
4798	$$ a_1 = -4 ~,~ d = 2 ~,~ S_n = 84 ~,~ n = ? $$	2
4799	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
4800	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = \frac{ 89 }{ 10 } ~~ \text{and} ~~ d = \frac{ 23 }{ 10 } $.	2