3 years ago

Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?

1 answer:

4 0

Tn = a + (n-1)d

when n = 12, tn = 63

63 = a + (12-1)*5

a = 63 - 55 =8

tn or an
= 8 + (n-1) 5

= 3 + 5n

Hope this helps

You might be interested in

Graph the line with the equation y = 3-5x -4

Eddi Din [679]

Answer:

Step-by-step explanation:

4 0

3 years ago

Help me please! I'd really appreciate it

Svetllana [295]

The ratio of the sides are the same. So 6/24=x/56. This leads to x being 14.

4 0

4 years ago

If f(x, y) = xy, find the gradient vector ∇f(2, 5) and use it to find the tangent line to the level curve f(x, y) = 10 at the po

hammer [34]

Answer:

Step-by-step explanation:

check attachment

f(x,y)=xy Δf(2,5)

fx=y = 5

fy=x = 2

Gradient Vector:

<5,2>

Tangent Vector:

0=fx(x-2) + fy(y-5)

0=5(x-3) + 2(y-2)

11=5x+2y

8 0

3 years ago

Solve x2 − 7x + 12 = 0.<br> x = −3, x = −4<br> x = 3, x = 4<br> x = 2, x = 6<br> x = −2, x = −6

UNO [17]

Answer:

x=4, x=3

B is correct.

Step-by-step explanation:

Given: $x^2-7x+12=0$

Using middle term splitting factor the left side equation.

$x^2-4x-3x+12=0$

$(x-4)(x-3)=0$

Equate each factor to 0 and solve for x

x-4=0 or x-3=0

x=4 and x=3

Hence, The solution of the equation is 4 or 3

6 0

3 years ago

Find the value of this expression if x=-7. x^2 -1 /x+4

belka [17]

Answer:

-16

Step-by-step explanation:

x^2 -1 /x+4

By putting the value of x in the expression as x = -7

= (-7)^2 - 1/ -7 +4

= (+49) - 1/ -3

= 48/-3

= -16

6 0

3 years ago