Arithmetic sequences

Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 7 $.

Find $ S_{ 365 } $ ( sum of first $ 365 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 10 } ~~ \text{and} ~~ d = \frac{ 1 }{ 10 } $.

Find common difference $ d $ of arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ a_{ 22 } = 95 $.

Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = -5 $.

Find $ a_1 $ (first term of arithmetic progression) if $ d = 15 ~~ \text{and} ~~ a_{ 29 } = 341 $.

Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 3 $.

Find $ S_{ 39 } $ ( sum of first $ 39 $ terms ) of arithmetic progression if $ a_1 = 192 ~~ \text{and} ~~ d = -38 $.

Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 50 $.

Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -7 \right) $.

Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 600 ~~ \text{and} ~~ d = 600 $.

Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 1225 ~~ \text{and} ~~ d = 75 $.

Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 18 ~~ \text{and} ~~ d = \left( -5 \right) $.

Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -5 \right) $.

Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = -30 ~~ \text{and} ~~ d = \left( -10 \right) $.

Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 79 ~~ \text{and} ~~ d = \left( -3 \right) $.

Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ d = -\frac{ 3 }{ 2 } $.

Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 3000 ~~ \text{and} ~~ d = 400 $.

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

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

Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 4.125 ~~ \text{and} ~~ d = 4.125 $.

Find $ a_{ 74 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 74 } $ ( sum of first $ 74 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 75 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = \left( -4 \right) $.

Find $ S_{ 500 } $ ( sum of first $ 500 $ terms ) of arithmetic progression if $ a_1 = 1050 ~~ \text{and} ~~ d = 105 $.

Find $ a_{ 1013 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 1013 } $ ( sum of first $ 1013 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.

Find $ a_{ 56 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \left( -\frac{ 13 }{ 4 } \right) $.

Find $ S_{ 56 } $ ( sum of first $ 56 $ terms ) of arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = -\frac{ 13 }{ 4 } $.

Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 8 $.

Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = -9 ~~ \text{and} ~~ d = 4 $.

Find $ a_{ 12 } $ of an arithmetic progression if $ a_1 = -90 ~~ \text{and} ~~ d = \left( -30 \right) $.

Find $ S_{ 89 } $ ( sum of first $ 89 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -5 \right) $.

Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 6 $.

Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 6 $.

Find $ a_{ 100 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.

Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -8 \right) $.

Find $ a_{ 28 } $ of an arithmetic progression if $ a_1 = -91 ~~ \text{and} ~~ d = 1232 $.

Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -91 ~~ \text{and} ~~ d = 28 $.

Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 1000 ~~ \text{and} ~~ d = 0 $.

Find $ S_{ 1000 } $ ( sum of first $ 1000 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 0 $.

Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = 1 $.

Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = \left( -3 \right) $.

Find $ a_{ 23 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $.

Find $ S_{ 18 } $ ( sum of first $ 18 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 4 $.