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
5251	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = \left( -9 \right) $.	2
5252	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = \left( -9 \right) $.	2
5253	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 36 ~~ \text{and} ~~ d = \left( -9 \right) $.	2
5254	Find $ a_{ 86 } $ of an arithmetic progression if $ a_1 = -\frac{ 5 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.	2
5255	Find $ S_{ 86 } $ ( sum of first $ 86 $ terms ) of arithmetic progression if $ a_1 = -\frac{ 5 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.	2
5256	Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = \frac{ 173 }{ 50 } ~~ \text{and} ~~ d = \frac{ 27 }{ 100 } $.	2
5257	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 4 $.	2
5258	Find $ a_{ 633 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 24 $.	2
5259	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 48 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
5260	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = -5 $.	2
5261	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 68 ~~ \text{and} ~~ d = 5 $.	2
5262	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 4 $.	2
5263	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 62 $.	2
5264	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 62 $.	2
5265	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
5266	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $.	2
5267	Find $ S_{ 39 } $ ( sum of first $ 39 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 32173 }{ 50 } $.	2
5268	Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 257 ~~ \text{and} ~~ d = 12982 $.	2
5269	Find $ a_{ 94 } $ of an arithmetic progression if $ a_1 = 58 ~~ \text{and} ~~ d = 60 $.	2
5270	Find $ S_{ 94 } $ ( sum of first $ 94 $ terms ) of arithmetic progression if $ a_1 = 58 ~~ \text{and} ~~ d = 60 $.	2
5271	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 3 $.	2
5272	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 85 ~~ \text{and} ~~ d = 60 $.	2
5273	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 0 $.	2
5274	Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 0 $.	2
5275	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 85 ~~ \text{and} ~~ d = 60 $.	2
5276	Find $ S_{ 79 } $ ( sum of first $ 79 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 91 $.	2
5277	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 89 ~~ \text{and} ~~ d = 64 $.	2
5278	Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 43 $.	2
5279	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 45 ~~ \text{and} ~~ d = 43 $.	2
5280	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 93 ~~ \text{and} ~~ d = 20 $.	2
5281	Find $ S_{ 65 } $ ( sum of first $ 65 $ terms ) of arithmetic progression if $ a_1 = 66 ~~ \text{and} ~~ d = 34 $.	2
5282	Find $ S_{ 67 } $ ( sum of first $ 67 $ terms ) of arithmetic progression if $ a_1 = 71 ~~ \text{and} ~~ d = 47 $.	2
5283	Find $ S_{ 92 } $ ( sum of first $ 92 $ terms ) of arithmetic progression if $ a_1 = 37 ~~ \text{and} ~~ d = 19 $.	2
5284	Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 3 $.	2
5285	Find $ S_{ 51 } $ ( sum of first $ 51 $ terms ) of arithmetic progression if $ a_1 = 74 ~~ \text{and} ~~ d = 12 $.	2
5286	Find $ S_{ 59 } $ ( sum of first $ 59 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 3 $.	2
5287	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 57 ~~ \text{and} ~~ d = 82 $.	2
5288	Find $ S_{ 87 } $ ( sum of first $ 87 $ terms ) of arithmetic progression if $ a_1 = 53 ~~ \text{and} ~~ d = 45 $.	2
5289	Find $ a_{ 68 } $ of an arithmetic progression if $ a_1 = \frac{ 4 }{ 5 } ~~ \text{and} ~~ d = 3 $.	2
5290	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = \frac{ 4 }{ 5 } ~~ \text{and} ~~ d = 30 $.	2
5291	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = \frac{ 5 }{ 9 } ~~ \text{and} ~~ d = 0 $.	2
5292	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = \frac{ 5 }{ 9 } ~~ \text{and} ~~ d = 2 $.	2
5293	Find $ S_{ 64 } $ ( sum of first $ 64 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	2
5294	Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	2
5295	Find $ S_{ 210 } $ ( sum of first $ 210 $ terms ) of arithmetic progression if $ a_1 = 366 ~~ \text{and} ~~ d = 594 $.	2
5296	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 510673 ~~ \text{and} ~~ d = 0 $.	2
5297	Find $ S_{ 510673 } $ ( sum of first $ 510673 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 0 $.	2
5298	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1220 }{ 51 } ~~ \text{and} ~~ d = 0 $.	2
5299	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1220 }{ 51 } ~~ \text{and} ~~ d = \frac{ 610 }{ 39 } $.	2
5300	Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1220 }{ 51 } ~~ \text{and} ~~ d = \frac{ 610 }{ 39 } $.	2