kcrawford054 kcrawford054
  • 06-09-2017
  • Mathematics
contestada

Find the next two numbers in the pattern.
7,−28,112,−448, 7,−28,112,−448,
1792,
, . . .

Respuesta :

eco92 eco92
  • 13-09-2017
Let u_n be the n' th term of the sequence.


[tex]u_1=7\\\\u_2=-28=-7\cdot4\\\\u_3=112=7 \cdot4^2\\\\u_4=-448=-7\cdot 64=-7\cdot 4^3\\\\u_5=1792=7 \cdot 4^4[/tex]

thus it is clear that:

[tex]u_6=-7 \cdot 4^5=7168\\\\u_7=7\cdot 4^6=28,672[/tex]

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