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
4651	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $.	2
4652	$$ a_1 = -5 ~,~ d = -3 ~,~ a_n = -230 ~,~ n = ? $$	2
4653	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 71 ~~ \text{and} ~~ d = 2 $.	2
4654	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 3 $.	2
4655	$$ a_1 = 3 ~,~ d = 7 ~,~ a_n = 10 ~,~ n = ? $$	2
4656	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.	2
4657	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 10000 ~~ \text{and} ~~ d = 300 $.	2
4658	Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $.	2
4659	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -4 \right) $.	2
4660	Find $ S_{ 36 } $ ( sum of first $ 36 $ terms ) of arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 2 $.	2
4661	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 3700 ~~ \text{and} ~~ d = \left( -50 \right) $.	2
4662	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 3700 ~~ \text{and} ~~ d = -50 $.	2
4663	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 3700 ~~ \text{and} ~~ d = \left( -50 \right) $.	2
4664	Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $.	2
4665	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 6 $.	2
4666	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = -30 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
4667	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 33 }{ 5 } ~~ \text{and} ~~ d = \frac{ 6 }{ 5 } $.	2
4668	Find $ a_{ 1009 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2019 $.	2
4669	Find $ S_{ 1009 } $ ( sum of first $ 1009 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2018 $.	2
4670	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = 40 $.	2
4671	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 40 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.	2
4672	Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 15 $.	2
4673	Find $ a_{ 73 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 30 $.	2
4674	Find $ S_{ 58 } $ ( sum of first $ 58 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 1 $.	2
4675	Find $ S_{ 57 } $ ( sum of first $ 57 $ terms ) of arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 1 $.	2
4676	Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = \left( -8 \right) $.	2
4677	Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.	2
4678	Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $.	2
4679	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $.	2
4680	Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = \left( -200 \right) $.	2
4681	Find $ a_{ 46 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.	2
4682	Find $ S_{ 51 } $ ( sum of first $ 51 $ terms ) of arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 20 $.	2
4683	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -\frac{ 3 }{ 4 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $.	2
4684	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -\frac{ 3 }{ 4 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $.	2
4685	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 3 $.	2
4686	Find $ S_{ 77 } $ ( sum of first $ 77 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 7 $.	2
4687	Find common difference $ d $ of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ a_{ 15 } = 23 $.	2
4688	Find $ a_{ 73 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 2 $.	2
4689	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 44 ~~ \text{and} ~~ d = 5 $.	2
4690	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 49 $.	2
4691	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 49 $.	2
4692	Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $.	2
4693	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 3 $.	2
4694	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.	2
4695	Find $ a_{ 1000 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 10 $.	2
4696	Find $ S_{ 500 } $ ( sum of first $ 500 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 20 $.	2
4697	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $.	2
4698	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 60000 ~~ \text{and} ~~ d = 2500 $.	2
4699	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 60000 ~~ \text{and} ~~ d = 3500 $.	2
4700	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 60000 ~~ \text{and} ~~ d = 3000 $.	2