For What Values of P Does the Series $1+9 p+(9 p)^{2}+(9 p)^{3}+\ldots+(9 p)^{n}+$

question 31

Multiple Choice

For what values of p does the series $1+9 p+(9 p) ^{2}+(9 p) ^{3}+\ldots+(9 p) ^{n}+$ converge, if any?

• A) \(\frac{-1}{9}\)\(<\)\(p<\)\(\frac{1}{9}\)
• B) \(\frac{-1}{18}\) \(<\)\(p<\)\(\frac{1}{18}\)
• C)-1 < p < 1
• D) \(-1 \leq p \leq 1\)
• E)The series diverges for all values of p.

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Chemical Signals

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Specialized cells or groups of cells that detect changes in the environment and convey information to the nervous system.

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The junction between neurons through which they communicate with each other, transferring information via chemical or electrical signals.

Chemical Reactions

Processes that involve the rearrangement of atomic or molecular structures to form new substances.