Answer:
<em>x = 1 and -2</em>
<em>Sum of the first ten terms = 1,398,100</em>
Step-by-step explanation:
Given the geometric progression 2x+2, 16, 64x...
Since they are in GP, their common ratio is expressed as;
16/2x+2 = 64x/16
16/2(x+1) = 4x
8/x+1 = 4x
Cross multiply
4x(x+1) = 8
4x²+4x = 8
4x²+4x - 8 = 0
divide through by 4
x²+x - 2 = 0
Factorize
x²+2x-x- 2 = 0
x(x+2)-1(x+2) = 0
(x-1)(x+2) = 0
x = 1 and -2
Hence the values of x are 1 and -2
Get the common ratio;
r = 16/2x+2
Since x = 1
r = 16/2(1)+2
r = 16/4
r = 4
Sum of the first n terms is expressed as;
Sn = a(rⁿ-1)/r-1
a = 2x+2
a = 2(1)+2
a = 4
Substitute;
S10 = 4(4^10 - 1)/4 - 1
S10 = 4(1,048,576-1)/3
S10 = 4,194,300/3
S10 = 1,398,100
Hence the sum of the first ten terms is 1,398,100
2 is your answer .........
To find the answer, divide 7.2 miles by 3 hrs, this would get you to answer B, 2.4 miles per hour
Answer:
The relationship ship equation:
Step-by-step explanation:
Let 'x' be the grams of flour Priya bought
Let Clare bought 'y' grams of flour
As Clare bought 3/8 more than that.
so
y = x + 3/8x
Thus, the relationship ship equation:
Circumference = 2Pi(r) = 6Pi
angle of arc s = 360 - 106 = 254 degree
Arc length = 6Pi ( 254 ) / 360 = 4.2Pi
Pi = 3.14
