use the backward substitution method to obtain the closed form formula for the recurrence relation

an= 2an-1 + 1, and a0 =0.

Step-by-step explanation:

So, we can infer that

and we only need to find out a formula for this sum (a geometric reason with common ratio 2)

Let's call

then,

hence,

and we have our closed formula for the sequence

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

actually your concept is wrong

step-by-step explanation:

150% of x =300

150x=300×100

x=(300×100)÷150

x=200