Question

If 2 ^ (n + 2) - 2 ^ (n + 1) + 2 ^ n = C * 2 ^ n , find the value of C​

Answer 1

Answer:

393 + 421 find the value of equal to 2 + 1 + 1 equal to 2 n square equal to into plus is equal to is equal to 4 x square + -1 14 13 19 delsey number 145 LCM LCM is equal to DCA

Answer 2

Answer:

C= 3

Step-by-step explanation:

We have, 2n+2 +2n+1 + 2n = c x 2n

=> 2n 22 +2n 21 + 2n = c x 2n [∴ am+n = am x an]

=> 2n [22 – 21 + 1] = c x 2n [taking common 2n in LHS]

=> 2n[4-2 + 1]=c x 2n

=> 3  x 2n  = c x 2n 3  x 2n x 2-n =c  x 3n x c-n [multiplying both sides by 2-n]

=> 3 x 2n-1 = c x 2n-n   [∴ am+n = am x an]

=> 3 x 2° =c x 2°

=> 3x 1 =c x 1    [∴ a°=1]

∴  3 = c