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rt,算了一下感觉不对,减1应该是减2


IP属地:湖北来自Android客户端1楼2026-01-07 13:03回复
    -2才对,抖音上这些东西有几个真的?


    IP属地:江苏来自Android客户端2楼2026-01-07 13:27
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      2026-02-23 15:54:50
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      初中咋可能要150字,高考才是150吧


      IP属地:上海来自Android客户端3楼2026-01-07 14:25
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        It is easy to get that An=3^n+2.


        IP属地:上海来自iPhone客户端4楼2026-01-07 14:40
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          有一句肯定用得上,its easy to notice that……


          IP属地:北京来自Android客户端5楼2026-01-07 15:37
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            Go fxxk yourself,write your mxxxter


            IP属地:北京来自Android客户端6楼2026-01-07 16:15
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              造谣一张图


              IP属地:吉林来自iPhone客户端7楼2026-01-07 16:59
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                rt是什么


                IP属地:福建来自Android客户端8楼2026-01-07 18:03
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                  2026-02-23 15:48:50
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                  数学题,那就通篇clearly,obviously就行了


                  IP属地:中国香港来自Android客户端9楼2026-01-07 18:30
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                    让ai翻译的:The obvious result becomes easily evident, following the previous example clearly. The answer is left as an exercise, and you can prove it on your own without difficulty.
                    Conversely, by the same reasoning, the conclusion naturally holds. The process is omitted, Q.E.D., as it can be inferred from the above that the proof is complete.


                    IP属地:浙江来自Android客户端10楼2026-01-07 18:48
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                      I already have a good idea, but the paper is so thin that I can't show it here.


                      IP属地:江苏来自Android客户端11楼2026-01-07 19:07
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                        豆包还是可以的
                        Dear Peter,
                        I'm glad to help you solve the problem from The Nine Chapters on the Mathematical Art. Let's break it down step by step. The first term of the sequence is 5, and each subsequent term is 3 times the previous one minus 4.
                        To find the 12th term: we can derive the recurrence relation a_n = 3a_{n-1} - 4 with a_1=5. By transforming it, we get a_n - 1 = 3(a_{n-1} - 1), so \{a_n - 1\} is a geometric sequence with first term 4 and common ratio 3. Thus, a_n = 4\times3^{n-1} + 1, and a_{12} = 4\times3^{11} + 1 = 708589.
                        The sum of the first n terms S_n = \sum_{k=1}^n (4\times3^{k-1} + 1) = 2(3^n - 1) + n. Also, since a_n - 1 = 4\times3^{n-1}, it’s obviously a multiple of 3, which proves the statement.
                        If you have more questions about ancient Chinese math, feel free to ask me!
                        Look forward to your early reply.
                        Yours,
                        LIHUA


                        IP属地:湖南来自Android客户端12楼2026-01-07 19:09
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                          九章算术里出现了n也是挺有意思的


                          IP属地:安徽来自Android客户端13楼2026-01-07 20:09
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                            最后一句是什么意思?5-1也不是3的倍数啊。


                            IP属地:福建来自Android客户端14楼2026-01-07 22:03
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                              2026-02-23 15:42:50
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                              1 : an+1=an*3-4, a1=5,问a12
                              2: 求Sn
                              3: 求bn=an-1可被3整除


                              IP属地:云南来自Android客户端15楼2026-01-07 22:55
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