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Question Number 174124 by BHOOPENDRA last updated on 25/Jul/22

C3^n −4C^(3n−1) =3^n   find C  for any n

$${C}\mathrm{3}^{{n}} −\mathrm{4}{C}^{\mathrm{3}{n}−\mathrm{1}} =\mathrm{3}^{{n}} \\ $$$${find}\:{C}\:\:{for}\:{any}\:{n}\: \\ $$

Commented by mr W last updated on 25/Jul/22

it′s impossible to find a formula for  C in terms of n.

$${it}'{s}\:{impossible}\:{to}\:{find}\:{a}\:{formula}\:{for} \\ $$$${C}\:{in}\:{terms}\:{of}\:{n}. \\ $$

Commented by mr W last updated on 26/Jul/22

for general n or for a particular   value of n, in both cases  we can′t solve for C exacty!

$${for}\:{general}\:{n}\:{or}\:{for}\:{a}\:{particular}\: \\ $$$${value}\:{of}\:{n},\:{in}\:{both}\:{cases} \\ $$$${we}\:{can}'{t}\:{solve}\:{for}\:{C}\:{exacty}! \\ $$

Commented by mr W last updated on 25/Jul/22

no chance!

$${no}\:{chance}! \\ $$

Commented by BHOOPENDRA last updated on 25/Jul/22

so there is no way to find C right?

$${so}\:{there}\:{is}\:{no}\:{way}\:{to}\:{find}\:{C}\:{right}? \\ $$

Commented by BHOOPENDRA last updated on 26/Jul/22

In that type of condition i was talikg   about sir

$${In}\:{that}\:{type}\:{of}\:{condition}\:{i}\:{was}\:{talikg}\: \\ $$$${about}\:{sir} \\ $$

Commented by BHOOPENDRA last updated on 25/Jul/22

so we can not find C right ?if in terms  of n is not neccesary then?

$${so}\:{we}\:{can}\:{not}\:{find}\:{C}\:{right}\:?{if}\:{in}\:{terms} \\ $$$${of}\:{n}\:{is}\:{not}\:{neccesary}\:{then}? \\ $$

Commented by mr W last updated on 26/Jul/22

for a particular value of n, say n=2,  we can get C approximately.

$${for}\:{a}\:{particular}\:{value}\:{of}\:{n},\:{say}\:{n}=\mathrm{2}, \\ $$$${we}\:{can}\:{get}\:{C}\:{approximately}.\: \\ $$

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