Arithmetic sequences

(the database of solved problems)

All the problems and solutions shown below were generated using the Arithmetic sequences.

Select category

ID	Problem	Count
4451	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 14 ~~ \text{and} ~~ d = 5 $.	2
4452	Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
4453	Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.	2
4454	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $.	2
4455	Find $ a_{ 53 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 6 $.	2
4456	Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 6 $.	2
4457	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 4 $.	2
4458	Find $ a_{ 62 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 9 $.	2
4459	Find $ a_{ 80 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 4 $.	2
4460	Find $ a_{ 71 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	2
4461	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 17 $.	2
4462	Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = -19 ~~ \text{and} ~~ d = -6 $.	2
4463	Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 6 $.	2
4464	Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = -2 $.	2
4465	Find $ S_{ 60 } $ ( sum of first $ 60 $ terms ) of arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 2 $.	2
4466	Find $ S_{ 43 } $ ( sum of first $ 43 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	2
4467	Find $ S_{ 27 } $ ( sum of first $ 27 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 3 $.	2
4468	Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 47 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
4469	Find $ S_{ 34 } $ ( sum of first $ 34 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $.	2
4470	Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = 24 $.	2
4471	Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 6 $.	2
4472	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 8 $.	2
4473	Find $ S_{ 150 } $ ( sum of first $ 150 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $.	2
4474	Find $ d $ (common difference of arithmetic progression) if $ a_1 = 8 ~~ \text{and} ~~ S_{ 10 } = 44 $.	2
4475	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = -\frac{ 4 }{ 5 } $.	2
4476	Find $ S_{ 56 } $ ( sum of first $ 56 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $.	2
4477	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = \left( -10 \right) $.	2
4478	Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 108 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.	2
4479	Find $ a_{ 78 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 7 $.	2
4480	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 2 $.	2
4481	Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = -16 $.	2
4482	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 115 $.	2
4483	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 3 $.	2
4484	Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 9 $.	2
4485	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -8 \right) $.	2
4486	Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 8 $.	2
4487	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
4488	Find $ d $ (common difference of arithmetic progression) if $ a_1 = -21 ~~ \text{and} ~~ S_{ 12 } = 78 $.	2
4489	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -21 ~~ \text{and} ~~ d = 5 $.	2
4490	Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -21 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
4491	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = \left( -6 \right) $.	2
4492	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
4493	Find $ a_{ 39 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -10 \right) $.	2
4494	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 3 $.	2
4495	Find $ a_{ 98 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 14 $.	2
4496	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 8 $.	2
4497	Find $ a_{ 58 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 8 $.	2
4498	Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 58 $.	2
4499	Find $ S_{ 58 } $ ( sum of first $ 58 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 8 $.	2
4500	Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 23 $.	2