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
3801	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = -25 ~~ \text{and} ~~ d = 8 $.	2
3802	Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3803	Find $ a_{ 400 } $ of an arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 80 $.	2
3804	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = -2 $.	2
3805	Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 9 $.	2
3806	Find $ a_{ 43 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 7 $.	2
3807	$$ a_1 = 150 ~,~ d = 5 ~,~ a_n = 101 ~,~ n = ? $$	2
3808	$$ a_1 = 150 ~~,~~ d = 5 ~~,~~ a_1 = ? ~~,~~ d = ? $$	2
3809	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 27 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3810	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $.	2
3811	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 38 ~~ \text{and} ~~ d = 200 $.	2
3812	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 38 ~~ \text{and} ~~ d = 200 $.	2
3813	Find $ S_{ 500 } $ ( sum of first $ 500 $ terms ) of arithmetic progression if $ a_1 = 1100 ~~ \text{and} ~~ d = 110 $.	2
3814	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -9 \right) $.	2
3815	Find $ a_{ 27 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 10 $.	2
3816	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3817	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = -32 ~~ \text{and} ~~ d = \left( -10 \right) $.	2
3818	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -30 ~~ \text{and} ~~ d = 7 $.	2
3819	Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -10 \right) $.	2
3820	Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = -36 ~~ \text{and} ~~ d = 200 $.	2
3821	Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = -39 ~~ \text{and} ~~ d = \left( -200 \right) $.	2
3822	Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = 9 $.	2
3823	Find $ a_{ 34 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -7 \right) $.	2
3824	Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 33 ~~ \text{and} ~~ d = \left( -10 \right) $.	2
3825	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -13 \right) $.	2
3826	Find $ S_{ 49 } $ ( sum of first $ 49 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $.	2
3827	Find $ S_{ 62 } $ ( sum of first $ 62 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = -5 $.	2
3828	Find $ S_{ 41 } $ ( sum of first $ 41 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = -5 $.	2
3829	Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = -7 $.	2
3830	Find $ a_{ 91 } $ of an arithmetic progression if $ a_1 = -52 ~~ \text{and} ~~ d = 11 $.	2
3831	$$ a_1 = -52 ~,~ d = 11 ~,~ a_n = 949 ~,~ n = ? $$	2
3832	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $.	2
3833	Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $.	2
3834	Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = 200 ~~ \text{and} ~~ d = -1 $.	2
3835	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 11 }{ 2 } $.	2
3836	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.	2
3837	Find $ a_{ 61 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 16 $.	2
3838	Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 8300 ~~ \text{and} ~~ d = 200 $.	2
3839	$$ a_1 = 4 ~,~ d = 3 ~,~ S_n = 34 ~,~ n = ? $$	2
3840	$$ a_1 = 4 ~,~ d = 3 ~,~ a_n = 13 ~,~ n = ? $$	2
3841	Find $ a_{ 10000 } $ of an arithmetic progression if $ a_1 = -23 ~~ \text{and} ~~ d = 4 $.	2
3842	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 35000 ~~ \text{and} ~~ d = 3500 $.	2
3843	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -\frac{ 23 }{ 20 } $.	2
3844	Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -\frac{ 23 }{ 20 } $.	2
3845	Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 6 $.	2
3846	Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = -3 $.	2
3847	Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 3 $.	2
3848	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $.	2
3849	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 31 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3850	Find $ S_{ 202 } $ ( sum of first $ 202 $ terms ) of arithmetic progression if $ a_1 = -100 ~~ \text{and} ~~ d = 202 $.	2