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
5201	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -41 ~~ \text{and} ~~ d = \left( -82 \right) $.	2
5202	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -7 \right) $.	2
5203	Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 50 $.	2
5204	Find $ a_{ 120 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 25 $.	2
5205	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 25 $.	2
5206	Find $ S_{ 114 } $ ( sum of first $ 114 $ terms ) of arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 20 $.	2
5207	Find $ S_{ 2 } $ ( sum of first $ 2 $ terms ) of arithmetic progression if $ a_1 = 48500 ~~ \text{and} ~~ d = 1200 $.	2
5208	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 48500 ~~ \text{and} ~~ d = 1200 $.	2
5209	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 48500 ~~ \text{and} ~~ d = 1200 $.	2
5210	Find $ a_{ 366 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	2
5211	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 3 $.	2
5212	Find $ S_{ 266 } $ ( sum of first $ 266 $ terms ) of arithmetic progression if $ a_1 = 101 ~~ \text{and} ~~ d = 1 $.	2
5213	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 9 $.	2
5214	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 3 $.	2
5215	Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $.	2
5216	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 4 $.	2
5217	Find $ a_{ 51 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $.	2
5218	Find $ S_{ 48 } $ ( sum of first $ 48 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $.	2
5219	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 10 $.	2
5220	Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $.	2
5221	Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 2 $.	2
5222	Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 7 $.	2
5223	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -13 \right) $.	2
5224	Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 74 ~~ \text{and} ~~ d = 51 $.	2
5225	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = 75 $.	2
5226	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 63 $.	2
5227	Find $ S_{ 63 } $ ( sum of first $ 63 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 72 $.	2
5228	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = -5 $.	2
5229	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $.	2
5230	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 3 $.	2
5231	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
5232	Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 250 ~~ \text{and} ~~ d = 20 $.	2
5233	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.	2
5234	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 70 ~~ \text{and} ~~ d = \left( -14 \right) $.	2
5235	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
5236	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = \frac{ 5 }{ 12 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.	2
5237	$$ a_1 = \frac{ 5 }{ 6 } ~,~ d = \frac{ 2 }{ 3 } ~,~ a_n = \frac{ 1 }{ 3 } ~,~ n = ? $$	2
5238	Find $ S_{ 74 } $ ( sum of first $ 74 $ terms ) of arithmetic progression if $ a_1 = 52 ~~ \text{and} ~~ d = 51 $.	2
5239	Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 59 ~~ \text{and} ~~ d = 60 $.	2
5240	Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = 59 ~~ \text{and} ~~ d = 60 $.	2
5241	Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 74 ~~ \text{and} ~~ d = 51 $.	2
5242	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 15 $.	2
5243	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = 75 $.	2
5244	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = 25 $.	2
5245	Find $ a_{ 46 } $ of an arithmetic progression if $ a_1 = 81 ~~ \text{and} ~~ d = 24 $.	2
5246	$$ a_1 = 95 ~~,~~ d = -30 ~~,~~ a_1 = ? ~~,~~ d = ? $$	2
5247	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 95 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
5248	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $.	2
5249	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
5250	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -14 ~~ \text{and} ~~ d = \left( -4 \right) $.	2