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
2301	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 13 ~~ \text{and} ~~ d = 2 $.	3
2302	Find $ S_{ 7 } $ ( sum of first $ 7 $ terms ) of arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 4 $.	3
2303	Find $ a_{ 1 } $ of an arithmetic progression if $ a_1 = 7 ~~ \text{and} ~~ d = \left( -2 \right) $.	3
2304	Find $ a_{ 0 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	3
2305	$$ a_1 = 2 ~,~ d = 2 ~,~ a_n = 300 ~,~ n = ? $$	3
2306	Find $ S_{ 200 } $ ( sum of first $ 200 $ terms ) of arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = -\frac{ 1 }{ 100 } $.	3
2307	Find $ S_{ 362 } $ ( sum of first $ 362 $ terms ) of arithmetic progression if $ a_1 = 253 ~~ \text{and} ~~ d = -\frac{ 7 }{ 10 } $.	3
2308	Find $ a_{ 32 } $ of an arithmetic progression if $ a_1 = 150 ~~ \text{and} ~~ d = 7 $.	3
2309	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = -4 ~~ \text{and} ~~ d = 2 $.	3
2310	Find $ S_{ 23 } $ ( sum of first $ 23 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 5 $.	3
2311	Find $ a_{ 6 } $ of an arithmetic progression if $ a_1 = \frac{ 1 }{ 5 } ~~ \text{and} ~~ d = \frac{ 4 }{ 3 } $.	3
2312	Find $ S_{ 1000000 } $ ( sum of first $ 1000000 $ terms ) of arithmetic progression if $ a_1 = 0.001 ~~ \text{and} ~~ d = 1.0E-6 $.	3
2313	Find $ S_{ 10000 } $ ( sum of first $ 10000 $ terms ) of arithmetic progression if $ a_1 = 0.001 ~~ \text{and} ~~ d = 1.0E-5 $.	3
2314	Find $ S_{ 2500 } $ ( sum of first $ 2500 $ terms ) of arithmetic progression if $ a_1 = 100 ~~ \text{and} ~~ d = 100 $.	3
2315	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -6 \right) $.	3
2316	Find $ a_{ 7 } $ of an arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = \left( -1 \right) $.	3
2317	Find $ S_{ 33 } $ ( sum of first $ 33 $ terms ) of arithmetic progression if $ a_1 = 48 ~~ \text{and} ~~ d = 0 $.	3
2318	Find $ S_{ 32 } $ ( sum of first $ 32 $ terms ) of arithmetic progression if $ a_1 = 48 ~~ \text{and} ~~ d = 0 $.	3
2319	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 38 ~~ \text{and} ~~ d = -3 $.	3
2320	Find $ S_{ 15 } $ ( sum of first $ 15 $ terms ) of arithmetic progression if $ a_1 = 39 ~~ \text{and} ~~ d = -3 $.	3
2321	Find $ S_{ 10 } $ ( sum of first $ 10 $ terms ) of arithmetic progression if $ a_1 = 39 ~~ \text{and} ~~ d = -3 $.	3
2322	Find $ S_{ 52 } $ ( sum of first $ 52 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	3
2323	Find $ S_{ 24 } $ ( sum of first $ 24 $ terms ) of arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = -4 $.	3
2324	Find $ a_{ 1000 } $ of an arithmetic progression if $ a_1 = 0 ~~ \text{and} ~~ d = 1 $.	3
2325	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 1 $.	3
2326	Find $ a_{ 25 } $ of an arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 7 $.	3
2327	Find $ a_{ 49 } $ of an arithmetic progression if $ a_1 = -40 ~~ \text{and} ~~ d = \left( -4 \right) $.	3
2328	Find $ a_{ 55 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -20 \right) $.	3
2329	Find $ a_{ 67 } $ of an arithmetic progression if $ a_1 = -17 ~~ \text{and} ~~ d = \left( -6 \right) $.	3
2330	Find $ S_{ 26 } $ ( sum of first $ 26 $ terms ) of arithmetic progression if $ a_1 = 10 ~~ \text{and} ~~ d = 10 $.	3
2331	Find $ a_{ 31 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = 8 $.	3
2332	Find $ a_{ 66 } $ of an arithmetic progression if $ a_1 = -28 ~~ \text{and} ~~ d = \left( -17 \right) $.	3
2333	Find $ a_{ 96 } $ of an arithmetic progression if $ a_1 = -3 ~~ \text{and} ~~ d = \left( -11 \right) $.	3
2334	Find $ S_{ 6 } $ ( sum of first $ 6 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 3 $.	3
2335	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 6 $.	3
2336	Find $ a_{ 18 } $ of an arithmetic progression if $ a_1 = -18 ~~ \text{and} ~~ d = 5 $.	3
2337	Find $ S_{ 31 } $ ( sum of first $ 31 $ terms ) of arithmetic progression if $ a_1 = 4 ~~ \text{and} ~~ d = 5 $.	3
2338	Find $ S_{ 50 } $ ( sum of first $ 50 $ terms ) of arithmetic progression if $ a_1 = 5 ~~ \text{and} ~~ d = 4 $.	3
2339	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 12 ~~ \text{and} ~~ d = \left( -8 \right) $.	3
2340	$$ a_1 = 6 ~,~ d = -1 ~,~ S_n = -10 ~,~ n = ? $$	3
2341	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ d = \frac{ 1 }{ 4 } $.	3
2342	Find $ S_{ 47 } $ ( sum of first $ 47 $ terms ) of arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 9 $.	3
2343	Find $ a_{ 45 } $ of an arithmetic progression if $ a_1 = 9 ~~ \text{and} ~~ d = 4 $.	3
2344	Find $ S_{ 135 } $ ( sum of first $ 135 $ terms ) of arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 1 $.	3
2345	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = \left( -3 \right) $.	3
2346	Find $ a_{ 40 } $ of an arithmetic progression if $ a_1 = 6 ~~ \text{and} ~~ d = 12 $.	3
2347	Find $ a_{ 11 } $ of an arithmetic progression if $ a_1 = -34 ~~ \text{and} ~~ d = \left( -10 \right) $.	3
2348	Find $ a_{ 4 } $ of an arithmetic progression if $ a_1 = 2 ~~ \text{and} ~~ d = \left( -6 \right) $.	3
2349	Find $ a_{ 10 } $ of an arithmetic progression if $ a_1 = 1 ~~ \text{and} ~~ d = 4 $.	3
2350	Find $ a_{ 5 } $ of an arithmetic progression if $ a_1 = -2 ~~ \text{and} ~~ d = \left( -3 \right) $.	3