Question

Simplify
7^(n+2)-3×7^(n+1)/20×7^(n)-2×7^(n)

Answer 1

Answer:

14/9

Step-by-step explanation:

z=7^(n+2)-3×7^(n+1)/20×7^(n)-2×7^(n)

let 7^n=x

then z=( x*7^2-3*7*x) / (20x-2x)

=(49x-21x)/18x

=28x/18x

=28/18

=14/9

Answer 2

SOLUTION:

$= > \frac{ {7}^{n + 2} - 3 \times {7}^{n + 1} }{20 \times {7}^{n} - 2 \times {7}^{n} }$

$= > \frac{ {7}^{n} \times {7}^{2} - 3 \times 7 \times {7}^{n} }{20 \times {7}^{n} - 2 \times {7}^{n} }$

$= > \frac{(49 - 21) {7}^{n} }{(20 - 2) {7}^{n} }$

$= > \frac{28 \times {7}^{n} }{18 \times {7}^{n} }$

$= > \frac{28}{18} \times {7}^{n - n}$

$= > \frac{14}{9} \times {7}^{0}$

$= > \frac{14}{9}$