Question

If 2n+² – 2n+¹ + 2n = c × 2n find the value of c​.​

Answer 1

Answer:

2^n+2=2^n*4

2^n+1=2^n*2

So,

By simplifying it

2^n*4-2^n*2=c*2^n

Taking the 2^n common from the LHS,

We get is now

2^n(4-2)=c*2^n

2*2^n=c*2^n

From comprasion of LHS and RHS we find the value of c=2

Hope it help you