i. the sum of an ap is given by s_(n)=(-1)/(2)(2a+(n-1) ii. the sum to infinity of a gp is given by s_(oo)=(1)/(1-r) | Question AI (2024)

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i. The sum of an AP is given by S_(n)=(-1)/(2)(2a+(n-1) ii. The sum to infinity of a GP is given by S_(oo)=(1)/(1-r)

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i. the sum of an ap is given by s_(n)=(-1)/(2)(2a+(n-1) ii. the sum to infinity of a gp is given by s_(oo)=(1)/(1-r) | Question AI (2)

Cynthia MartinezMaster · Tutor for 5 years

Answer

<p> No specific answer required.</p>

Explanation

<p> This is a question about the sum of an infinite geometric progression𝑆∞. According to the definition of the sum to infinity of a Geometrical Progression (GP), the formula to calculate the infinite sum of a GP is S∞ = a/(1 - r), where 'a' is the first term of the series and 'r' is its common ratio. Here 'a' is implicitly 1, therefore, the sum to is represented as S∞ = 1/(1 - r).</p>

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i. the sum of an ap is given by s_(n)=(-1)/(2)(2a+(n-1) ii. the sum to infinity of a gp is given by s_(oo)=(1)/(1-r) | Question AI (2024)
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