All categories

2 years ago

Please help. Find the first 4 terms in a sequence using the recursive definition.

Mathematics

1 answer:

Damm [24]2 years ago

3 0

Answer:

22, 50, 106, 218

Step-by-step explanation:

Using the recursive formula with f(0) = 8

Substitute n = 1, 2, 3, 4 into the recursive formula and evaluate

f(1) = 2f(1-1) + 6 = 2f(0) + 6 = (2 × 8) + 6 = 16 + 6 = 22

f(2) = 2f(1) + 6 = (2 ×× 22) + 6 = 44 + 6 = 50

f(3) = 2f(2) + 6 = (2 × 50) + 6 = 100 + 6 = 106

f(4) = 2f(3) + 6 = (2 × 106) + 6 = 212 + 6 = 218

You might be interested in

Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).

Stells [14]

9514 1404 393

Answer:

(g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

f(9) = -(9) +11 = 2

Then ...

(g·f)(9) = g(9)·f(9) = 248·2

(g·f)(9) = 496

8 0

2 years ago

How would u write 64 square centimeters?Also for my problem would I put 70 feet or 70 square feet?

Leto [7]

64cm2 but make the number two small and in the corner of the m
70 square feet

3 0

2 years ago

Read 2 more answers

Confused? Please, Help?

uysha [10]

Domain={-4,3} range={2,3}

8 0

2 years ago

Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

DENIUS [597]

Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

$f'(1)=2$

$f''(1)=-12$

$f'''(1)=-12$

$f^{(4)}(1)=48$

$f^{(5)}(1)=120$

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

$T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5$

###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

by expanding the right hand side and matching up terms with the same power of $x$ .

5 0

2 years ago

Plzz help i don't understand that well

postnew [5]

Answer:

Step-by-step explanation:

A triangle's lengths HAVE TO add up to 180 degrees.

3 0

2 years ago

Read 2 more answers