Question

Simplify the value of 2.3 ^n+1 + 7.3^n-1 upon 3^n+2 - 2(1 upon 3)^1-n

Answer 1

Answer:

=3

Step-by-step explanation:

Just let y=3^n

∴given expression

=(3^n)+(3^1×3^n)/{((3^n)+(3^n/3)}

=(y+3y)/{y+(y/3)}

=(1+3)/(1+(1/3))

=4/{(4/3)}

= 3 ♬ ♬♬

CHECK:【if n=1→(3+9)/(3+1)=12/4=3】

RE-CHECK:【 if n=2→(9+27)/(9+3)=36/12=3】

TRIPLE-CHECK:【if n=0→(1+3)/(1+1/3)=4÷(4/3)=4×(3/4)=3】

EXTRA-CHECK:【if n=3→(27+81)/(27+9)=108/36=3】

FOOL-PROOF CHECK:

【_if n=-1→{(1/3)+1}/{(1/3)+(1/9)}=(4/3)÷(4/9)=(4/3)×(9/4)=3】