The first three terms of an infinite geometric progression are 0.8, 0.08 and 0.008. a. Write down

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The first three terms of an infinite geometric progression are 0.8, 0.08 and 0.008.

a. Write down the common ratio for this progression.

b. Find, as a fraction, the sum to infinity of the terms of this progression.

c. Find the sum to infinity of the geometric progression 0.8 − 0.08 + 0.008 − … and hence show that 8/11 = 0.7̇2̇.

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