Arithmetic sequences

Find $ S_{ 0 } $ ( sum of first $ 0 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 1 $.

Find $ S_{ 4 } $ ( sum of first $ 4 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.

Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 57 } $ ( sum of first $ 57 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $.

Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $.

Find $ S_{ 49 } $ ( sum of first $ 49 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $.

Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \frac{ 91 }{ 10 } $.

Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $.

Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -1 \right) $.

Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -1 \right) $.

Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = -6 ~~ \text{and} ~~ d = \left( -3 \right) $.

Find $ S_{ 30 } $ ( sum of first $ 30 $ terms ) of arithmetic progression if $ a_1 = 64 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 99 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -5 \right) $.

Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 0 $.

Find $ a_1 $ (first term of arithmetic progression) if $ d = -6 ~~ \text{and} ~~ a_{ 10 } = 32 $.

Find $ a_{ 64 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -5 \right) $.

Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 15 ~~ \text{and} ~~ d = 8 $.

Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 2 $.

Find $ S_{ 150 } $ ( sum of first $ 150 $ terms ) of arithmetic progression if $ a_1 = 1001 ~~ \text{and} ~~ d = 3 $.

Find $ a_{ 14 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -4 \right) $.

Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 43 ~~ \text{and} ~~ d = \left( -5 \right) $.

Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 3 $.

Find $ a_{ 15 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 1 $.

Find $ a_{ 189 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.

Find $ a_{ 2 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 3 $.

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

Find $ S_{ 133 } $ ( sum of first $ 133 $ terms ) of arithmetic progression if $ a_1 = 5000 ~~ \text{and} ~~ d = 40 $.

Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 0 $.

Find $ S_{ 9 } $ ( sum of first $ 9 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 16 } $ ( sum of first $ 16 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.

Find $ a_{ 41 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 4 $.

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

Find $ a_{ 50 } $ of an arithmetic progression if $ a_1 = 150000 ~~ \text{and} ~~ d = 25000 $.

Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 150000 ~~ \text{and} ~~ d = 25000 $.

Find $ S_{ 410 } $ ( sum of first $ 410 $ terms ) of arithmetic progression if $ a_1 = 4650 ~~ \text{and} ~~ d = 50 $.

Find $ a_{ 16 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 9 $.

Find $ S_{ 14 } $ ( sum of first $ 14 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $.

Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \frac{ 9 }{ 2 } $.

Find $ S_{ 17 } $ ( sum of first $ 17 $ terms ) of arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 3 $.

Find $ S_{ 196 } $ ( sum of first $ 196 $ terms ) of arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 8 $.

Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = 8 $.

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

Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \frac{ 1 }{ 2 } $.

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

Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = 2 $.

Find $ a_{ 52 } $ of an arithmetic progression if $ a_1 = \frac{ 200 }{ 7 } ~~ \text{and} ~~ d = \frac{ 44 }{ 7 } $.

Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 24 ~~ \text{and} ~~ d = \left( -8 \right) $.