Math Calculators, Lessons and Formulas
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All the problems and solutions shown below were generated using the Arithmetic sequences.
Find $ S_{ 720 } $ ( sum of first $ 720 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = 20 $.
Find $ S_{ 359 } $ ( sum of first $ 359 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.
Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = \left( -2 \right) $.
Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = \left( -5 \right) $.
Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 71 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 3 $.
Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 50 $.
Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 0 $.
Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = \frac{ 2 }{ 7 } ~~ \text{and} ~~ d = \frac{ 5 }{ 7 } $.
Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 37 ~~ \text{and} ~~ d = 3 $.
Find $ S_{ 28 } $ ( sum of first $ 28 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.
Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = 7 $.
Find $ S_{ 120 } $ ( sum of first $ 120 $ terms ) of arithmetic progression if $ a_1 = 500 ~~ \text{and} ~~ d = 25 $.
Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 3 $.
Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 58 $.
Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 5 $.
Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.
Find $ S_{ 316 } $ ( sum of first $ 316 $ terms ) of arithmetic progression if $ a_1 = 51 ~~ \text{and} ~~ d = 1 $.
Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $.
Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 5 } ~~ \text{and} ~~ d = \frac{ 2 }{ 5 } $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 7 $.
Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $.
Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 5 } \right) $.
Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -12 \right) $.
Find $ a_{ 36 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 7 $.
Find $ S_{ 65535 } $ ( sum of first $ 65535 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $.
Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = 3 $.
Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 16 $.
Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = -4 $.
Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.
Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.
Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 7 $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 82 ~~ \text{and} ~~ d = \left( -6 \right) $.
Find $ a_{ 21 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $.
Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 4 $.
Find $ a_1 $ (first term of arithmetic progression) if $ d = 4 ~~ \text{and} ~~ a_{ 19 } = 17 $.
Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 0 $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \frac{ 7 }{ 2 } $.
Find $ S_{ 112 } $ ( sum of first $ 112 $ terms ) of arithmetic progression if $ a_1 = 103 ~~ \text{and} ~~ d = 4 $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 4 $.
Find $ a_{ 91 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 20 $.
Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 7 $.
Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.