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Usaazi had 20 notes of sh.500 numbered consecutively up to 0412. Find the serial number of the first note.

Mathematics

ScanSolve AI Answer

Answer

0393\text{0393}

Step-by-step solution

4 steps

Huu hapa ni ufumbuzi wa swali lako:

  1. Tambua idadi ya noti na namba ya mfululizo ya noti ya mwisho.

    Kuna noti 20, na zimehesabiwa mfululizo. Namba ya mfululizo ya noti ya mwisho ni 0412.

  2. Tumia fomula ya namba za mfululizo.

    Ikiwa namba ya mfululizo ya noti ya kwanza ni SFS_F, na kuna noti NN, basi namba ya mfululizo ya noti ya mwisho (SLS_L) itakuwa SF+(N−1)S_F + (N-1).

  3. Badilisha thamani zinazojulikana kwenye fomula.

    Tunajua N=20N = 20 na SL=0412S_L = 0412.

    SL=SF+(N−1)S_L = S_F + (N-1) 0412=SF+(20−1)0412 = S_F + (20-1) 0412=SF+190412 = S_F + 19
  4. Tatua mlinganyo ili kupata namba ya mfululizo ya noti ya kwanza (SFS_F).

    Ili kupata SFS_F, toa 19 kutoka 0412.

    SF=0412−19S_F = 0412 - 19 SF=0393S_F = 0393

    Namba ya mfululizo ya noti ya kwanza ni 0393\text{0393}.

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