Let , ... be defined by the formula = 4^n for every integer n ≥ 0. Fill in the blanks to show that b0, b1, b2, ... satisfies the recurrence relation bk = 4bk − 1 for every integer k ≥ 1.

Let P(n) be a property defined for integers and consider constructing a proof by mathematical induction for the statement "P(n) is true for all n ≥ a."

Step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

answer: i'm great at algebra

~coco

step-by-step explanation: