mam24758 mam24758
  • 13-05-2022
  • Mathematics
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PLEASE HELP 15 POINTS!!!

PLEASE HELP 15 POINTS class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 13-05-2022

Sequence: 24 + 12 + 6 + 3 +...

Explanation:

This is infinite geometric series converges.

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify the following

  • a1 = 24
  • r = 12 ÷ 24 = 1/2

Solve:

[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =48[/tex]

This is series has a sum of 48.

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