Consider the series 4 + 12 + 36 ... Find the sum of the first 9 terms.

Mathematics

1 answer:

jeyben [28]2 years ago

3 0

Answer:

39364

Step-by-step explanation:

You can simplify the equation to make 4(1+3+9...) The nth term is therefore $3^{n-1}$ so u can substitute that into the equation so 4( $3^{n-1}+ 3^{n} + 3^{n+1}$ ..). This would simplify to 4( $3^0 +3+3^2$ + $3^3+3^4+3^5+3^6+3^7+3^8$ ). By simplifying this, you can make it so 4( $2^2+6^2+18^2+42^2+81^2$ ) = 4(4+36+324+2916+6561) =39364

You might be interested in

Function or not a function?

Taya2010 [7]

Answer:Function

Step-by-step explanation:Because each x variable is pointing to a diffrent range

8 0

3 years ago

What is the inverse operation of cubed power

aleksley [76]

The inverse operation is a cubed root. It is a square root symbol with a small 3 to the left of the radical. The cubed root of x is a number, when cubed, gives x. For example, $\sqrt[3]{8} =2$ .

6 0

3 years ago

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible

Ilya [14]

hello :
the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
line of symmetry x = h
The minimum or maximum value is : k
a possible equation of this parabola is : f(x) = a(x+5)²-7

6 0

3 years ago

Help please! I need to write 4y =-3x + 12 in standard form, find the y-intercept of the previous equation, as an ordered pair, a

damaskus [11]

Answer:

$-3x+4y=12\\y-intercept: (0,3)\\x-intercept: (-4,0)$