addyg2390 addyg2390
  • 12-09-2022
  • Mathematics
contestada


What is the sum of the first 7 terms of the geometric series below? 1,2,4,8, ,,

Respuesta :

lamaurblackwin5
lamaurblackwin5 lamaurblackwin5
  • 12-09-2022

Answer:

idududydysehwghsysysgsbebeywyehe

Answer Link
jimrgrant1 jimrgrant1
  • 12-09-2022

Answer:

S₇ = 127

Step-by-step explanation:

the sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^n-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then

S₇ = [tex]\frac{1(2^7-1)}{2-1}[/tex] = [tex]\frac{2^7-1}{1}[/tex] = [tex]2^{7}[/tex] - 1 = 128 - 1 = 127

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