If ( 1 − P ) ( 1 + 3 x + 9 x 2 + 27 x 3 + 81 x 4 + 243 x 5 ) = 1 − P 6 , P  = 1 , then find the value of x P

( 1 − P ) ( 1 + 3 x + 9 x 2 + 27 x 3 + 81 x 4 + 243 x 5 ) = 1 − P 5 ⇒ ( 1 − P ) 1 − 3 x 1 − ( 3 x ) 6 = 1 − P 6 which is possible only. If P = 3 x ∴ x P = 3 ans.

Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesG.P.Easy2 minQB

MathematicsEasyinteger

If $(1 - P) (1 + 3 x + 9 x^{2} + 27 x^{3} + 81 x^{4} + 243 x^{5}) = 1 - P^{6}, P \neq = 1$ , then find the value of $\frac{P}{x}$

Answer:

Solution:

$(1 - P) (1 + 3 x + 9 x^{2} + 27 x^{3} + 81 x^{4} + 243 x^{5}) = 1 - P^{5}$ $\Rightarrow (1 - P) \frac{1 - ( 3 x ) ^{6}}{1 - 3 x} = 1 - P^{6}$

which is possible only. If $P = 3 x$

$∴ \frac{P}{x} = 3$ ans.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:G.P.

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...