Math Calculators, Lessons and Formulas
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All the problems and solutions shown below were generated using the Arithmetic sequences.
Find $ S_{ 76 } $ ( sum of first $ 76 $ terms ) of arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = 5 $.
Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 2 $.
Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 5 $.
Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 455 ~~ \text{and} ~~ d = 16 $.
Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.
Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.
Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = 2 $.
Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 9 $.
Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = -13 ~~ \text{and} ~~ d = \left( -2 \right) $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.
Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 4 $.
Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 8 $.
Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.
Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.
Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -4 $.
Find $ S_{ 45 } $ ( sum of first $ 45 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 7 $.
Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = -9 $.
Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 8 $.
Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 2 $.
Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.
Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = 6 $.
Find $ S_{ 8 } $ ( sum of first $ 8 $ terms ) of arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 7 $.
Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = -8 ~~ \text{and} ~~ d = 8 $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 8 $.
Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 7 $.
Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -5 \right) $.
Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.
Find $ a_{ 150 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \frac{ 5 }{ 2 } $.
Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = \frac{ 254 }{ 25 } ~~ \text{and} ~~ d = \frac{ 8 }{ 5 } $.
Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = -2 $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -313 ~~ \text{and} ~~ d = 22 $.
Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 220 ~~ \text{and} ~~ d = \left( -60 \right) $.
Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 220 ~~ \text{and} ~~ d = \left( -60 \right) $.
Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 220 ~~ \text{and} ~~ d = \left( -60 \right) $.
Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = \frac{ 11 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = \frac{ 11 }{ 2 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 2 } \right) $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = \frac{ 19 }{ 4 } ~~ \text{and} ~~ d = \frac{ 2 }{ 5 } $.
Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.
Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 19 }{ 4 } ~~ \text{and} ~~ d = \frac{ 2 }{ 5 } $.
Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 9 $.
Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 9 $.
Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 6 $.
Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -3 \right) $.
Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.
Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 8000 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 8000 ~~ \text{and} ~~ d = 1 $.
Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = \left( -2 \right) $.