Arithmetic sequences

Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 17 ~~ \text{and} ~~ d = 13 $.

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

Find $ a_{ 98 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 14 $.

Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = -21 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = -21 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 13 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 3 }{ 2 } $.

Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 5000 ~~ \text{and} ~~ d = 1000 $.

Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.

Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = -3 $.

Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = -3 $.

Find $ a_{ 200 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 5050 ~~ \text{and} ~~ d = 1 $.

Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = \frac{ 2 }{ 3 } ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 1 $.

Find $ S_{ 21 } $ ( sum of first $ 21 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = -4 $.

Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 2002 ~~ \text{and} ~~ d = 150 $.

Find $ S_{ 40 } $ ( sum of first $ 40 $ terms ) of arithmetic progression if $ a_1 = 30 ~~ \text{and} ~~ d = -3 $.

Find $ S_{ 75 } $ ( sum of first $ 75 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 314 ~~ \text{and} ~~ d = -40 $.

Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 221 ~~ \text{and} ~~ d = -\frac{ 56 }{ 5 } $.

Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 4 $.

Find $ S_{ 5 } $ ( sum of first $ 5 $ terms ) of arithmetic progression if $ a_1 = 1200 ~~ \text{and} ~~ d = -140 $.

Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 92 ~~ \text{and} ~~ d = -6 $.

Find $ S_{ 3 } $ ( sum of first $ 3 $ terms ) of arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = -\frac{ 32 }{ 5 } $.

Find $ S_{ 22 } $ ( sum of first $ 22 $ terms ) of arithmetic progression if $ a_1 = 34 ~~ \text{and} ~~ d = -\frac{ 8 }{ 5 } $.

Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = -4 $.

Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 107 ~~ \text{and} ~~ d = -\frac{ 64 }{ 5 } $.

Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -11 ~~ \text{and} ~~ d = 3 $.

Find $ S_{ 19 } $ ( sum of first $ 19 $ terms ) of arithmetic progression if $ a_1 = 60 ~~ \text{and} ~~ d = -\frac{ 16 }{ 5 } $.

Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 41 ~~ \text{and} ~~ d = -\frac{ 32 }{ 5 } $.

Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = -14 ~~ \text{and} ~~ d = -5 $.

Find $ a_{ 625 } $ of an arithmetic progression if $ a_1 = \frac{ 188 }{ 5 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $.

Find $ a_{ 625 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $.

Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $.

Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 65 ~~ \text{and} ~~ d = \left( -30 \right) $.

Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = -\frac{ 4 }{ 5 } $.

Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = -\frac{ 4 }{ 5 } $.

Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = -12 ~~ \text{and} ~~ d = \left( -11 \right) $.

Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = \left( -\frac{ 1 }{ 3 } \right) $.

Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 75 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 75 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 27 ~~ \text{and} ~~ d = \frac{ 1 }{ 3 } $.

Find $ S_{ 12 } $ ( sum of first $ 12 $ terms ) of arithmetic progression if $ a_1 = -1 ~~ \text{and} ~~ d = -5 $.

Find $ S_{ 11 } $ ( sum of first $ 11 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.

Find $ S_{ 25 } $ ( sum of first $ 25 $ terms ) of arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = 280000 ~~ \text{and} ~~ d = \frac{ 21 }{ 20 } $.

Find $ a_{ 30 } $ of an arithmetic progression if $ a_1 = -15 ~~ \text{and} ~~ d = 4 $.

Find $ a_{ 22 } $ of an arithmetic progression if $ a_1 = \frac{ 3 }{ 2 } ~~ \text{and} ~~ d = \frac{ 3 }{ 4 } $.

Find $ a_{ 360 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 360 $.