If-a-b-c-are-in-GP-and-a-b-c-a-b-c-are-in-HP-then-a-4b-c-is-equal-to-

Question Number 12995 by 433 last updated on 09/May/17

$$\mathrm{If}\:{a},\:{b},\:{c}\:\mathrm{are}\:\mathrm{in}\:\mathrm{GP}\:\mathrm{and}\:\:{a}−{b},\:{c}−{a},\:{b}−{c}\:\mathrm{are} \\ $$$$\mathrm{in}\:\mathrm{HP},\:\mathrm{then}\:{a}+\mathrm{4}{b}+{c}\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$

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