Find the value of m in the sequence below 144,100,64,9m.

Mathematics

ScanSolve AI Answer

Answer

4\text{4}

Step-by-step solution

5 steps
  1. Tambua mpangilio wa namba zilizopewa.

    Angalia namba tatu za kwanza:

    144=122144 = 12^2 100=102100 = 10^2 64=8264 = 8^2

    Namba hizi ni miraba kamili.

  2. Tambua mpangilio wa namba za msingi.

    Namba za msingi ni 12,10,812, 10, 8. Tunaona kwamba kila namba inayofuata inapungua kwa 2.
    12−2=1012 - 2 = 10
    10−2=810 - 2 = 8

  3. Tafuta namba ya msingi inayofuata.

    Kufuatia mpangilio, namba ya msingi inayofuata baada ya 8 itakuwa 8−2=68 - 2 = 6.

  4. Tafuta namba inayofuata katika mfuatano.

    Namba inayofuata katika mfuatano itakuwa mraba wa namba ya msingi tuliyoipata:

    62=366^2 = 36
  5. Linganisha namba inayofuata na 9m9m na utafute thamani ya mm.

    Tunajua kwamba namba inayofuata ni 36, na katika mfuatano imeandikwa kama 9m9m.
    Hivyo, tunaweza kuweka sawa:

    9m=369m = 36

    Ili kupata mm, gawanya pande zote mbili kwa 9:

    m=369m = \frac{36}{9} m=4m = 4

    Thamani ya mm ni 4\boxed{\text{4}}.

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