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
9951	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0.965 $.	1
9952	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0.035 $.	1
9953	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 19 ~~ \text{and} ~~ d = 0 $.	1
9954	Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 8 $.	1
9955	Find $ a_{ 48 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 7 $.	1
9956	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 6 $.	1
9957	Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 1 $.	1
9958	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 8 $.	1
9959	Find $ a_{ 46 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -4 \right) $.	1
9960	Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 2 $.	1
9961	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 1 $.	1
9962	Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 1 $.	1
9963	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = \frac{ 14 }{ 5 } ~~ \text{and} ~~ d = \frac{ 3 }{ 10 } $.	1
9964	Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.	1
9965	Find $ S_{ 258 } $ ( sum of first $ 258 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.	1
9966	Find $ S_{ 259 } $ ( sum of first $ 259 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.	1
9967	Find common difference $ d $ of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ a_{ 5 } = 37 $.	1
9968	Find $ a_{ 78 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.	1
9969	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 3 $.	1
9970	Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 860 ~~ \text{and} ~~ d = 120 $.	1
9971	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 860 ~~ \text{and} ~~ d = 120 $.	1
9972	Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 360 ~~ \text{and} ~~ d = \left( -24 \right) $.	1
9973	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 5 $.	1
9974	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 9 $.	1
9975	Find $ S_{ 56 } $ ( sum of first $ 56 $ terms ) of arithmetic progression if $ a_1 = 179 ~~ \text{and} ~~ d = 39 $.	1
9976	Find common difference $ d $ of arithmetic progression if $ a_1 = 66 ~~ \text{and} ~~ a_{ 100 } = 251 $.	1
9977	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 10 $.	1
9978	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 360 ~~ \text{and} ~~ d = 10 $.	1
9979	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 610 ~~ \text{and} ~~ d = 10 $.	1
9980	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 760 ~~ \text{and} ~~ d = 10 $.	1
9981	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 760 ~~ \text{and} ~~ d = 10 $.	1
9982	Find common difference $ d $ of arithmetic progression if $ a_1 = 214 ~~ \text{and} ~~ a_{ 100 } = 233 $.	1
9983	Find common difference $ d $ of arithmetic progression if $ a_1 = 146 ~~ \text{and} ~~ a_{ 100 } = 131 $.	1
9984	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 5 $.	1
9985	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = 4 $.	1
9986	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $.	1
9987	$$ a_1 = 2 ~,~ d = 4 ~,~ a_n = 286 ~,~ n = ? $$	1
9988	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -2 \right) $.	1
9989	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -3 \right) $.	1
9990	$$ a_1 = 2 ~,~ d = 4 ~,~ a_n = 106 ~,~ n = ? $$	1
9991	$$ a_1 = 20 ~,~ d = -6 ~,~ a_n = -70 ~,~ n = ? $$	1
9992	Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9993	Find $ S_{ 2000 } $ ( sum of first $ 2000 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9994	Find $ S_{ 5000 } $ ( sum of first $ 5000 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9995	Find $ S_{ 4000 } $ ( sum of first $ 4000 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9996	Find $ S_{ 4200 } $ ( sum of first $ 4200 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9997	Find $ S_{ 4500 } $ ( sum of first $ 4500 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9998	Find $ S_{ 4450 } $ ( sum of first $ 4450 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
9999	Find $ S_{ 4475 } $ ( sum of first $ 4475 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1
10000	Find $ S_{ 4470 } $ ( sum of first $ 4470 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 100 $.	1