$\text { Write the repeating decimal } 0 . \overline { 75 } \text { as a geometric series. }$

question 47

Multiple Choice

$\text { Write the repeating decimal } 0 . \overline { 75 } \text { as a geometric series. }$

• A) \(\sum _ { n = 0 } ^ { \infty } 75 \left( \frac { 1 } { 100 } \right) ^ { n }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \left( \frac { 75 } { 10 } \right) ^ { n }\)
• C)\(\sum _ { n = 0 } ^ { \infty } \frac { 75 } { 100 } \left( \frac { 1 } { 100 } \right) ^ { n }\)
• D)
• \(\sum _ { n = 0 } ^ { \infty } \frac { 75 } { 100 } - \left( \frac { 1 } { 100 } \right) ^ { n }\)
• E)
• \(\sum _ { n = 0 } ^ { \infty } \frac { 75 } { 100 } + \left( \frac { 1 } { 100 } \right) ^ { n }\)

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