Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

Distinct numbers $a, b, c$ form an A.P., and $(b - a), (c - b), a$ form a G.P. Find $a : b : c$ .

Answer:

Solution:

Let $b - a = c - b = t \neq = 0$ . The G.P. condition $t^{2} = t a$ gives $a = t$ , so $b = 2 t, c = 3 t$ .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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