taslimajoypur1980 taslimajoypur1980
  • 10-06-2022
  • Mathematics
contestada

what is the n term of 1+2+4+8+16+32+..............

Respuesta :

loneguy
loneguy loneguy
  • 10-06-2022

Answer:

[tex]2^{n-1}[/tex]

Step-by-step explanation:

[tex]\text{It is a geometric series.}\\\\\text{First term,}~ a = 1\\\\\text{Common ratio,}~ r = \dfrac 21 = 2\\\\\text{Nth term,}~ a_n = a r^{n-1}\\\\~~~~~~~~~~~~~~~~~~~=1\cdot 2^{n-1}\\\\~~~~~~~~~~~~~~~~~~~=2^{n-1}[/tex]

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