Math Calculators, Lessons and Formulas
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All the problems and solutions shown below were generated using the Arithmetic sequences.
Find $ S_{ 54 } $ ( sum of first $ 54 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 10 $.
Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = \left( -1 \right) $.
Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = 21 ~~ \text{and} ~~ d = 3 $.
Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 36000 ~~ \text{and} ~~ d = 3000 $.
Find $ a_{ 74 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 3 $.
Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 3 $.
Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 11 $.
Find $ S_{ 98 } $ ( sum of first $ 98 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 9 $.
Find $ S_{ 98 } $ ( sum of first $ 98 $ terms ) of arithmetic progression if $ a_1 = 489 ~~ \text{and} ~~ d = -5 $.
Find $ S_{ 82 } $ ( sum of first $ 82 $ terms ) of arithmetic progression if $ a_1 = 42 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 40 $.
Find $ a_{ 60 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \left( -9 \right) $.
Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = \left( -9 \right) $.
Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 7 $.
Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 0 $.
Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 0 $.
Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 2 $.
Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $.
Find $ a_{ 70 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 17 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -4 \right) $.
Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 32 ~~ \text{and} ~~ d = 8 $.
Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \left( -20 \right) $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 5 $.
Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 102 ~~ \text{and} ~~ d = 6 $.
Find $ S_{ 66 } $ ( sum of first $ 66 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = -9 $.
Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 152 ~~ \text{and} ~~ d = \left( -3 \right) $.
Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $.
Find $ a_{ 33 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 17 $.
Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = 8 $.
Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ d = \frac{ 1 }{ 6 } $.
Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 0 $.
Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = \frac{ 375 }{ 2 } $.
Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = \frac{ 375 }{ 2 } $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = \frac{ 375 }{ 2 } $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \left( -4 \right) $.
Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -7 \right) $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -7 \right) $.
Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -7 \right) $.
Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = \left( -7 \right) $.
Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = -20 ~~ \text{and} ~~ d = 3 $.
Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.