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
9751	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -3 \right) $.	1
9752	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9753	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9754	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9755	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9756	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 101 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9757	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 99 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9758	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 199 }{ 2 } ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9759	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 997 }{ 10 } ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9760	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9761	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 90 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9762	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 201 }{ 2 } ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9763	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 102 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9764	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 98 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9765	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 197 }{ 2 } ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9766	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 981 }{ 10 } ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9767	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $.	1
9768	Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $.	1
9769	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $.	1
9770	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 103 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9771	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 104 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9772	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 106 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9773	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 97 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9774	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 3 $.	1
9775	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 20 $.	1
9776	Find $ S_{ 1 } $ ( sum of first $ 1 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $.	1
9777	Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 4 $.	1
9778	Find $ S_{ 77 } $ ( sum of first $ 77 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.	1
9779	Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 6 $.	1
9780	Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $.	1
9781	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $.	1
9782	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 6 $.	1
9783	Find $ S_{ 97 } $ ( sum of first $ 97 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.	1
9784	Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 31 ~~ \text{and} ~~ d = \left( -5 \right) $.	1
9785	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.	1
9786	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 16 $.	1
9787	$$ a_1 = 660 ~,~ d = 1 ~,~ a_n = 1319 ~,~ n = ? $$	1
9788	Find $ S_{ 660 } $ ( sum of first $ 660 $ terms ) of arithmetic progression if $ a_1 = 660 ~~ \text{and} ~~ d = 1 $.	1
9789	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 2 $.	1
9790	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 4 $.	1
9791	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 4 $.	1
9792	Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = 12 $.	1
9793	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	1
9794	Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 7 $.	1
9795	Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 1 $.	1
9796	Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 1000 $.	1
9797	Find $ S_{ 65 } $ ( sum of first $ 65 $ terms ) of arithmetic progression if $ a_1 = 12000 ~~ \text{and} ~~ d = 1000 $.	1
9798	Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = 12000 ~~ \text{and} ~~ d = 1000 $.	1
9799	Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	1
9800	Find $ S_{ 99 } $ ( sum of first $ 99 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 0 $.	1