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
9251	Find $ a_{ 5000 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	1
9252	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9253	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9254	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9255	Find $ a_{ 56 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9256	Find $ a_{ 66 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9257	Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9258	Find $ a_{ 62 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9259	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	1
9260	Find $ a_{ 95 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	1
9261	Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	1
9262	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 12 $.	1
9263	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 2 $.	1
9264	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = 5 $.	1
9265	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 34 ~~ \text{and} ~~ d = 0 $.	1
9266	Find $ a_{ 99 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9267	Find $ a_{ 99 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	1
9268	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9269	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9270	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $.	1
9271	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 50 $.	1
9272	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 40 $.	1
9273	Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 10 $.	1
9274	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 10 $.	1
9275	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $.	1
9276	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 5 $.	1
9277	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $.	1
9278	Find $ a_1 $ (first term of arithmetic progression) if $ d = 3 ~~ \text{and} ~~ S_{ 25 } = 250 $.	1
9279	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = -26 ~~ \text{and} ~~ d = 3 $.	1
9280	Find $ a_{ 61 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = \left( -16 \right) $.	1
9281	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 5 $.	1
9282	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 0 $.	1
9283	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 1070 ~~ \text{and} ~~ d = 10 $.	1
9284	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 305 ~~ \text{and} ~~ d = 55 $.	1
9285	Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 305 ~~ \text{and} ~~ d = 55 $.	1
9286	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = \frac{ 7 }{ 5 } $.	1
9287	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 354 $.	1
9288	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 7 } ~~ \text{and} ~~ d = \frac{ 1 }{ 6 } $.	1
9289	Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 69 ~~ \text{and} ~~ d = 420 $.	1
9290	Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 37 ~~ \text{and} ~~ d = 1 $.	1
9291	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 37 ~~ \text{and} ~~ d = 1 $.	1
9292	Find $ a_{ 61 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -\frac{ 2 }{ 5 } \right) $.	1
9293	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $.	1
9294	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 7 $.	1
9295	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 38 ~~ \text{and} ~~ d = \left( -200 \right) $.	1
9296	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 14 $.	1
9297	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 12 $.	1
9298	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 11 $.	1
9299	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 10 $.	1
9300	Find $ S_{ 57 } $ ( sum of first $ 57 $ terms ) of arithmetic progression if $ a_1 = -16 ~~ \text{and} ~~ d = 2 $.	1