Evaluate finite geometric series given in sigma notation, recursively, or explicitly.
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Problem

sum, start subscript, k, equals, 0, end subscript, start superscript, 39, end superscript, 8, left parenthesis, minus, start fraction, 7, divided by, 8, end fraction, right parenthesis, start superscript, k, end superscript, approximately equals
Please choose from one of the following options.