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
9551	Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = 1960 ~~ \text{and} ~~ d = 1 $.	1
9552	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 200 $.	1
9553	Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 1656 ~~ \text{and} ~~ d = \left( -1104 \right) $.	1
9554	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -22 \right) $.	1
9555	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -7 \right) $.	1
9556	Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 3 $.	1
9557	$$ a_1 = 1 ~,~ d = 45 ~,~ a_n = 45 ~,~ n = ? $$	1
9558	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -2 \right) $.	1
9559	Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -2 \right) $.	1
9560	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 30 $.	1
9561	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 4 } \right) $.	1
9562	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 46850 ~~ \text{and} ~~ d = 1400 $.	1
9563	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 4 } \right) $.	1
9564	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = -1 $.	1
9565	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9566	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = -1 $.	1
9567	Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 7 $.	1
9568	Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 100 $.	1
9569	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 3 $.	1
9570	Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $.	1
9571	Find $ S_{ 44 } $ ( sum of first $ 44 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $.	1
9572	Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = 3 $.	1
9573	$$ a_{ 1 } = 4 ~~,~~ S_{ 4 } = 13 ~~,~~ a_1 = ? ~~,~~ d = ? $$	1
9574	Find $ a_{ 42 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 0 $.	1
9575	Find common difference $ d $ of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ a_{ 12 } = -64 $.	1
9576	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9577	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 3 $.	1
9578	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -2 \right) $.	1
9579	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 4 $.	1
9580	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 13 $.	1
9581	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = \left( -6 \right) $.	1
9582	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9583	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -\frac{ 3 }{ 2 } \right) $.	1
9584	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -22 ~~ \text{and} ~~ d = -3 $.	1
9585	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $.	1
9586	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = -8 $.	1
9587	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 7 $.	1
9588	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $.	1
9589	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.	1
9590	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = \frac{ 3 }{ 5 } $.	1
9591	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = \frac{ 31 }{ 5 } ~~ \text{and} ~~ d = 2 $.	1
9592	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 620 ~~ \text{and} ~~ d = 2 $.	1
9593	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 76 }{ 5 } ~~ \text{and} ~~ d = \frac{ 49 }{ 5 } $.	1
9594	$$ a_1 = \frac{ 583 }{ 10 } ~~,~~ d = \frac{ 23 }{ 10 } ~~,~~ a_1 = ? ~~,~~ d = ? $$	1
9595	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $.	1
9596	Find $ a_{ 80 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.	1
9597	Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.	1
9598	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 16 $.	1
9599	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = -\frac{ 3 }{ 5 } ~~ \text{and} ~~ d = \frac{ 127 }{ 50 } $.	1
9600	Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 12 $.	1