Arithmetic sequences

Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \frac{ 2 }{ 3 } $.

Find $ a_{ 415 } $ of an arithmetic progression if $ a_1 = 5800000 ~~ \text{and} ~~ d = 10000 $.

Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = 713 ~~ \text{and} ~~ d = 713 $.

Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = 714 ~~ \text{and} ~~ d = 714 $.

Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 2 $.

Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 4 $.

Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 6 $.

Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 4 } ~~ \text{and} ~~ d = \frac{ 2232141 }{ 50 } $.

Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 4 } ~~ \text{and} ~~ d = 0.03571 $.

Find $ a_{ 8 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 4 } ~~ \text{and} ~~ d = 0.03571 $.

Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 30000 ~~ \text{and} ~~ d = 3000 $.

Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 8 $.

Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 8 } \right) $.

Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ d = -\frac{ 1 }{ 8 } $.

Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = -15 ~~ \text{and} ~~ d = 8 $.

Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 70 ~~ \text{and} ~~ d = 8 $.

Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = \frac{ 2 }{ 5 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $.

Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = -10 ~~ \text{and} ~~ d = -3 $.

Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.

Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -1 \right) $.

Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = \left( -1 \right) $.

Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 20 ~~ \text{and} ~~ d = -1 $.

Find $ a_{ 27 } $ of an arithmetic progression if $ a_1 = -180 ~~ \text{and} ~~ d = \left( -100 \right) $.

Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.

Find $ S_{ 59 } $ ( sum of first $ 59 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.

Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = -7 ~~ \text{and} ~~ d = \left( -2 \right) $.

Find $ a_{ 38 } $ of an arithmetic progression if $ a_1 = 22 ~~ \text{and} ~~ d = 3 $.

Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = 1500 ~~ \text{and} ~~ d = -5 $.

Find $ a_{ 85 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = -33 ~~ \text{and} ~~ d = -10 $.

Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = \frac{ 25 }{ 17 } ~~ \text{and} ~~ d = 0 $.

Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 30000 ~~ \text{and} ~~ d = 2000 $.

Find $ a_{ 2000 } $ of an arithmetic progression if $ a_1 = 30000 ~~ \text{and} ~~ d = 15 $.

Find $ S_{ 2000 } $ ( sum of first $ 2000 $ terms ) of arithmetic progression if $ a_1 = 30000 ~~ \text{and} ~~ d = 15 $.

Find $ S_{ 397 } $ ( sum of first $ 397 $ terms ) of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 190 $.

Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -\frac{ 22 }{ 3 } ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $.

Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -44 ~~ \text{and} ~~ d = 19 $.

Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 3 $.

Find $ a_{ 365 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $.

Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = \frac{ 9 }{ 4 } ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 4 } \right) $.

Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 2 $.

Find $ a_1 $ (first term of arithmetic progression) if $ d = 5 ~~ \text{and} ~~ a_{ 7 } = 28 $.

Find $ a_1 $ (first term of arithmetic progression) if $ d = 5 ~~ \text{and} ~~ a_{ 10 } = 50 $.

Find $ a_1 $ (first term of arithmetic progression) if $ d = 2 ~~ \text{and} ~~ a_{ 7 } = 28 $.

Find $ a_{ 20 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 7 }{ 5 } $.

Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ d = 18 $.