For A) the answer is 0.51. For B) 1445
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
x=24
Step-by-step explanation:
3(9+4x-5)
divide x by 4x to move the x to the other side.
x=3(9+4-5)
9+4=13
x= 3(13-5)
13-5=8
x= 3(8)
x=24
Answer:
17.5
Step-by-step explanation:
|-10.5| + 7 = their combined distance
=17.5
8)
<1 = 90
answer is a. 90
9)
k = 180 - 23 - 77
k = 80
answer is c.80
10)
x = 180 - 60 - 42
x = 78
z = 180 - 78
z = 102
y = 180 - 11 - 102
y = 67
answer is c x = 78 y = 67 z = 102
