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
51	Find $ a_{ 27 } $ of an arithmetic progression if $ a_1 = -21 ~~ \text{and} ~~ d = 7 $.	16
52	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $.	16
53	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $.	16
54	Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 4 $.	16
55	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.	16
56	Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $.	16
57	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.	16
58	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $.	16
59	Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = -15 ~~ \text{and} ~~ d = 5 $.	15
60	Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $.	15
61	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $.	15
62	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $.	15
63	Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 5 $.	15
64	Find $ a_{ 81 } $ of an arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = \left( -15 \right) $.	15
65	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.	15
66	Find $ a_{ 65 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 8 $.	15
67	Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 8 $.	14
68	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.	14
69	Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	14
70	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 4 $.	14
71	Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 190 ~~ \text{and} ~~ d = 190 $.	14
72	Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 7 $.	14
73	Find $ a_{ 44 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $.	14
74	Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 750000 ~~ \text{and} ~~ d = 50000 $.	14
75	Find $ a_{ 365 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ d = \frac{ 1 }{ 100 } $.	13
76	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	13
77	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = -4 $.	13
78	Find $ a_{ 43 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 6 $.	13
79	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.	13
80	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 9 $.	13
81	Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.	13
82	Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.	13
83	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $.	13
84	Find $ a_{ 90 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 5 $.	13
85	Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 10 $.	13
86	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $.	13
87	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $.	13
88	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $.	13
89	Find $ a_{ 57 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = \left( -16 \right) $.	13
90	Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = 4 $.	13
91	Find $ S_{ 600 } $ ( sum of first $ 600 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $.	12
92	Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 8 $.	12
93	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 3 $.	12
94	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	12
95	Find $ a_{ 91 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = \left( -20 \right) $.	12
96	Find $ a_{ 87 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \left( -12 \right) $.	12
97	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $.	12
98	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 6 $.	12
99	Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \left( -5 \right) $.	12
100	Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 16 $.	12