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
3901	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 7 $.	2
3902	Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	2
3903	Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	2
3904	Find $ S_{ 37 } $ ( sum of first $ 37 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.	2
3905	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = \frac{ 2 }{ 7 } ~~ \text{and} ~~ d = \left( -1 \right) $.	2
3906	Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 5 $.	2
3907	Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = 2 $.	2
3908	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3909	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = -3 $.	2
3910	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
3911	Find $ a_{ 67 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 2 $.	2
3912	Find $ a_1 $ (first term of arithmetic progression) if $ d = -10 ~~ \text{and} ~~ a_{ 12 } = -48 $.	2
3913	$$ a_1 = 33419 ~~,~~ d = 30 ~~,~~ a_1 = ? ~~,~~ d = ? $$	2
3914	$$ a_1 = 33419 ~,~ d = 30 ~,~ a_n = 75149 ~,~ n = ? $$	2
3915	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 0 $.	2
3916	Find $ S_{ 5568 } $ ( sum of first $ 5568 $ terms ) of arithmetic progression if $ a_1 = 75179 ~~ \text{and} ~~ d = 30 $.	2
3917	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 5 $.	2
3918	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 120 ~~ \text{and} ~~ d = 5 $.	2
3919	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = \left( -6 \right) $.	2
3920	Find $ a_{ 5601 } $ of an arithmetic progression if $ a_1 = 75179 ~~ \text{and} ~~ d = 30 $.	2
3921	Find $ a_{ 74 } $ of an arithmetic progression if $ a_1 = 37 ~~ \text{and} ~~ d = 2 $.	2
3922	Find $ a_{ 83 } $ of an arithmetic progression if $ a_1 = 85 ~~ \text{and} ~~ d = 61 $.	2
3923	Find $ a_{ 74 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $.	2
3924	Find $ S_{ 121 } $ ( sum of first $ 121 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	2
3925	$$ a_1 = 3 ~,~ d = 5 ~,~ a_n = 373 ~,~ n = ? $$	2
3926	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \left( -6 \right) $.	2
3927	Find $ a_{ 79 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $.	2
3928	Find $ a_{ 61 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = 6 $.	2
3929	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = 6 $.	2
3930	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = -80 ~~ \text{and} ~~ d = 6 $.	2
3931	$$ a_1 = 97 ~,~ d = -4 ~,~ S_n = 25 ~,~ n = ? $$	2
3932	Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.	2
3933	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 250 ~~ \text{and} ~~ d = 50 $.	2
3934	Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $.	2
3935	$$ a_1 = 39 ~,~ d = -2 ~,~ a_n = 21 ~,~ n = ? $$	2
3936	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -1 \right) $.	2
3937	Find $ S_{ 216 } $ ( sum of first $ 216 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = 3 $.	2
3938	Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 3 $.	2
3939	Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3940	Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 101 ~~ \text{and} ~~ d = 99 $.	2
3941	Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = -4 $.	2
3942	Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = -12 $.	2
3943	Find $ S_{ 55 } $ ( sum of first $ 55 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -3 $.	2
3944	$$ a_1 = 9 ~,~ d = 6 ~,~ a_n = 81 ~,~ n = ? $$	2
3945	Find $ S_{ 33 } $ ( sum of first $ 33 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $.	2
3946	Find $ a_{ 81 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -25 \right) $.	2
3947	Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $.	2
3948	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -7 \right) $.	2
3949	Find $ a_1 $ (first term of arithmetic progression) if $ d = 7 ~~ \text{and} ~~ a_{ 9 } = 24 $.	2
3950	$$ a_1 = 6 ~,~ d = 3 ~,~ a_n = 60 ~,~ n = ? $$	2