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
8901	Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 44 ~~ \text{and} ~~ d = 42 $.	1
8902	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = \left( -5 \right) $.	1
8903	Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = 89 $.	1
8904	Find $ S_{ 94 } $ ( sum of first $ 94 $ terms ) of arithmetic progression if $ a_1 = 82 ~~ \text{and} ~~ d = 11 $.	1
8905	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 9 $.	1
8906	Find $ S_{ 51 } $ ( sum of first $ 51 $ terms ) of arithmetic progression if $ a_1 = 91 ~~ \text{and} ~~ d = 24 $.	1
8907	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 97 ~~ \text{and} ~~ d = 21 $.	1
8908	Find $ S_{ 85 } $ ( sum of first $ 85 $ terms ) of arithmetic progression if $ a_1 = 89 ~~ \text{and} ~~ d = 14 $.	1
8909	Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 4 $.	1
8910	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 74 ~~ \text{and} ~~ d = 17 $.	1
8911	Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 50 $.	1
8912	$$ a_1 = -21 ~,~ d = -30 ~,~ a_n = 40 ~,~ n = ? $$	1
8913	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8914	Find $ a_{ 1000 } $ of an arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8915	Find $ a_{ 500 } $ of an arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8916	Find $ a_{ 350 } $ of an arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8917	Find $ a_{ 250 } $ of an arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8918	Find $ a_{ 260 } $ of an arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8919	Find $ S_{ 258 } $ ( sum of first $ 258 $ terms ) of arithmetic progression if $ a_1 = 219 ~~ \text{and} ~~ d = 7 $.	1
8920	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 0 $.	1
8921	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 3 $.	1
8922	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 3 $.	1
8923	Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $.	1
8924	Find $ a_{ 120 } $ of an arithmetic progression if $ a_1 = 250 ~~ \text{and} ~~ d = 50 $.	1
8925	Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 250 ~~ \text{and} ~~ d = 50 $.	1
8926	Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 200 $.	1
8927	Find $ a_{ 120 } $ of an arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 200 $.	1
8928	Find $ a_{ 120 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 100 $.	1
8929	Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 100 $.	1
8930	Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 550 ~~ \text{and} ~~ d = 25 $.	1
8931	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 550 ~~ \text{and} ~~ d = 25 $.	1
8932	Find $ a_{ 114 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 25 $.	1
8933	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 50 $.	1
8934	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 50 $.	1
8935	Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 1 $.	1
8936	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 50 $.	1
8937	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 25 $.	1
8938	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 25 $.	1
8939	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = 25 $.	1
8940	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 250 ~~ \text{and} ~~ d = 25 $.	1
8941	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = 25 $.	1
8942	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 350 ~~ \text{and} ~~ d = 25 $.	1
8943	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 375 ~~ \text{and} ~~ d = 25 $.	1
8944	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 400 ~~ \text{and} ~~ d = 25 $.	1
8945	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 450 ~~ \text{and} ~~ d = 25 $.	1
8946	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 475 ~~ \text{and} ~~ d = 25 $.	1
8947	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 600 ~~ \text{and} ~~ d = 20 $.	1
8948	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 700 ~~ \text{and} ~~ d = 20 $.	1
8949	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 1 $.	1
8950	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 800 ~~ \text{and} ~~ d = 20 $.	1