#1116 · Number Theory · Digits

Radix for arithmetic progression

Find the radix $b$ such that the numbers denoted by $47 9_{b}$ , $69 8_{b}$ , and $90 7_{b}$ form an arithmetic progression when interpreted in decimal.

~7 minAnswer checked instantlybase conversionarithmetic progression

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 24

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).