Arithmetic sequences

(the database of solved problems)

All the problems and solutions shown below were generated using the Arithmetic sequences.

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ID	Problem	Count
3401	Find $ S_{ 800 } $ ( sum of first $ 800 $ terms ) of arithmetic progression if $ a_1 = 250 ~~ \text{and} ~~ d = 50 $.	2
3402	Find $ S_{ 89 } $ ( sum of first $ 89 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	2
3403	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3404	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
3405	Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = \left( -2 \right) $.	2
3406	Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.	2
3407	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = \left( -3 \right) $.	2
3408	Find $ a_{ 3 } $ of an arithmetic progression if $ a_1 = 3 ~~ \text{and} ~~ d = 12 $.	2
3409	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $.	2
3410	Find $ a_{ 24 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 5 $.	2
3411	Find $ a_{ 19 } $ of an arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 3 $.	2
3412	Find $ S_{ 47 } $ ( sum of first $ 47 $ terms ) of arithmetic progression if $ a_1 = \frac{ 2 }{ 5 } ~~ \text{and} ~~ d = -\frac{ 1 }{ 6 } $.	2
3413	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = \frac{ 21 }{ 10 } ~~ \text{and} ~~ d = \frac{ 3 }{ 10 } $.	2
3414	Find $ a_{ 29 } $ of an arithmetic progression if $ a_1 = 29 ~~ \text{and} ~~ d = 7 $.	2
3415	Find $ a_1 $ (first term of arithmetic progression) if $ d = -3 ~~ \text{and} ~~ a_{ 10 } = -26 $.	2
3416	$$ a_1 = 1 ~,~ d = -3 ~,~ a_n = 10 ~,~ n = ? $$	2
3417	Find $ S_{ 20 } $ ( sum of first $ 20 $ terms ) of arithmetic progression if $ a_1 = -5 ~~ \text{and} ~~ d = 4 $.	2
3418	Find $ S_{ 36 } $ ( sum of first $ 36 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $.	2
3419	Find $ S_{ 80 } $ ( sum of first $ 80 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 1 $.	2
3420	Find $ a_{ 26 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 26 $.	2
3421	Find $ a_{ 37 } $ of an arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 7 $.	2
3422	$$ a_1 = -18 ~,~ d = 7 ~,~ a_n = 37 ~,~ n = ? $$	2
3423	Find $ S_{ 100 } $ ( sum of first $ 100 $ terms ) of arithmetic progression if $ a_1 = 16 ~~ \text{and} ~~ d = 5 $.	2
3424	Find $ S_{ 73 } $ ( sum of first $ 73 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 3 $.	2
3425	Find $ a_{ 35 } $ of an arithmetic progression if $ a_1 = 23 ~~ \text{and} ~~ d = 4 $.	2
3426	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 25 ~~ \text{and} ~~ d = \left( -10 \right) $.	2
3427	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 8 ~~ \text{and} ~~ d = \left( -12 \right) $.	2
3428	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = 9 $.	2
3429	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -5 \right) $.	2
3430	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = \frac{ 7 }{ 4 } $.	2
3431	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 50 ~~ \text{and} ~~ d = -8 $.	2
3432	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	2
3433	Find $ S_{ 35 } $ ( sum of first $ 35 $ terms ) of arithmetic progression if $ a_1 = 11 ~~ \text{and} ~~ d = 3 $.	2
3434	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 5 $.	2
3435	Find $ a_{ 1010 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.	2
3436	Find $ S_{ 1010 } $ ( sum of first $ 1010 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 2 $.	2
3437	Find $ a_{ 1009 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 2 $.	2
3438	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 10 $.	2
3439	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = 91 ~~ \text{and} ~~ d = 0 $.	2
3440	$$ a_1 = 100 ~,~ d = -7 ~,~ a_n = 37 ~,~ n = ? $$	2
3441	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 28 ~~ \text{and} ~~ d = 9 $.	2
3442	Find $ a_{ 186 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 2 $.	2
3443	Find $ S_{ 13 } $ ( sum of first $ 13 $ terms ) of arithmetic progression if $ a_1 = 35 ~~ \text{and} ~~ d = 5 $.	2
3444	$$ a_1 = -12 ~,~ d = 3 ~,~ a_n = 1104 ~,~ n = ? $$	2
3445	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 599 ~~ \text{and} ~~ d = \left( -6 \right) $.	2
3446	$$ a_1 = 599 ~,~ d = -6 ~,~ a_n = -7 ~,~ n = ? $$	2
3447	Find $ a_{ 102 } $ of an arithmetic progression if $ a_1 = 599 ~~ \text{and} ~~ d = \left( -6 \right) $.	2
3448	Find common difference $ d $ of arithmetic progression if $ a_1 = 10000 ~~ \text{and} ~~ a_{ 3 } = 400 $.	2
3449	Find common difference $ d $ of arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ a_{ 5 } = 17 $.	2
3450	Find $ a_{ 9 } $ of an arithmetic progression if $ a_1 = 160000 ~~ \text{and} ~~ d = \left( -14000 \right) $.	2