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
9401	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 16 } ~~ \text{and} ~~ d = 4 $.	1
9402	Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 6 $.	1
9403	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 8 $.	1
9404	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.	1
9405	$$ a_1 = 6 ~,~ d = 4 ~,~ S_n = 510 ~,~ n = ? $$	1
9406	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 160 $.	1
9407	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 25 $.	1
9408	Find $ a_{ 189 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $.	1
9409	Find $ a_{ 80 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $.	1
9410	Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $.	1
9411	Find $ a_{ 85 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $.	1
9412	Find $ a_{ 79 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $.	1
9413	Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 8 $.	1
9414	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.	1
9415	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 8 $.	1
9416	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = \left( -5 \right) $.	1
9417	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 6 $.	1
9418	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 5 $.	1
9419	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 2 $.	1
9420	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = -67 ~~ \text{and} ~~ d = 13 $.	1
9421	Find $ S_{ 44 } $ ( sum of first $ 44 $ terms ) of arithmetic progression if $ a_1 = 630 ~~ \text{and} ~~ d = 4 $.	1
9422	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.	1
9423	Find $ a_{ 81 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 4 $.	1
9424	Find $ S_{ 81 } $ ( sum of first $ 81 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 4 $.	1
9425	Find $ S_{ 47 } $ ( sum of first $ 47 $ terms ) of arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = -4 $.	1
9426	Find common difference $ d $ of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ a_{ 11 } = 29 $.	1
9427	Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = \frac{ 103 }{ 6 } ~~ \text{and} ~~ d = \left( -\frac{ 85 }{ 53 } \right) $.	1
9428	Find $ S_{ 888 } $ ( sum of first $ 888 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	1
9429	Find $ a_{ 47 } $ of an arithmetic progression if $ a_1 = 300 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9430	Find $ a_{ 47 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $.	1
9431	Find $ S_{ 888 } $ ( sum of first $ 888 $ terms ) of arithmetic progression if $ a_1 = 555 ~~ \text{and} ~~ d = 1 $.	1
9432	Find $ S_{ 333 } $ ( sum of first $ 333 $ terms ) of arithmetic progression if $ a_1 = 555 ~~ \text{and} ~~ d = 1 $.	1
9433	Find $ S_{ 48 } $ ( sum of first $ 48 $ terms ) of arithmetic progression if $ a_1 = 5000 ~~ \text{and} ~~ d = 5000 $.	1
9434	Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $.	1
9435	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 124 ~~ \text{and} ~~ d = 0 $.	1
9436	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 124 ~~ \text{and} ~~ d = 0 $.	1
9437	Find $ S_{ 121 } $ ( sum of first $ 121 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	1
9438	$$ a_1 = 6 ~,~ d = 8 ~,~ a_n = 20 ~,~ n = ? $$	1
9439	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = -\frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \frac{ 5 }{ 18 } $.	1
9440	Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = \frac{ 17 }{ 3 } ~~ \text{and} ~~ d = \frac{ 1 }{ 6 } $.	1
9441	Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 190 ~~ \text{and} ~~ d = 21.88 $.	1
9442	Find $ a_{ 145 } $ of an arithmetic progression if $ a_1 = -22 ~~ \text{and} ~~ d = 3 $.	1
9443	Find $ S_{ 145 } $ ( sum of first $ 145 $ terms ) of arithmetic progression if $ a_1 = -22 ~~ \text{and} ~~ d = 3 $.	1
9444	Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 3 $.	1
9445	$$ a_1 = 4 ~,~ d = 4 ~,~ a_n = 440 ~,~ n = ? $$	1
9446	Find $ S_{ 210 } $ ( sum of first $ 210 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	1
9447	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = -23 ~~ \text{and} ~~ d = 6 $.	1
9448	Find $ a_{ 73 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 0 $.	1
9449	Find $ a_{ 73 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 8 $.	1
9450	Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 65 ~~ \text{and} ~~ d = 1 $.	1