Answer:
(8,13)
Step-by-step explanation:
Answer:
r = 2
Step-by-step explanation:
nth term of a geometric sequence = 
.
Where,
a = first term, r = common ratio,
We are given that, the 11th term is 32 times larger than the 6th term of the geometric sequence. Thus:
the 6th term can be expressed as 
The 11th term is expressed as 
Since the 11th term is 32 times larger than the 6th term, therefore, the following equation can be derived to find the common ratio, r, of the sequence:
, therefore:
Divide both sides by ar⁵
Common ratio = 2
The sequence 1, 3, 6, 10, 15, etc find dy/dx...
dy/dx=2,3,4,5 this is not a constant so find d2y/dx2
d2y/dx2=1,1,1, this is a constant, specifically a constant acceleration, which is a property of a quadratic function of the form ax^2+bx+c and if we use three points of the sequence we can solve for all of the variables...
9a+3b+c=6
4a+2b+c=3
a+b+c=1 getting differences
5a+b=3
3a+b=2 and again
2a=1, so a=1/2, making 3a+b=2 become:
1.5+b=2, so b=1/2, making a+b+c=1 become
1/2+1/2+c=1 so c=0 so our function is:
a(n)=(n^2+n)/2
which can be expressed, if you factor the numerator as:
a(n)=n(n-1)/2
Answer:
32 and 42
Step-by-step explanation:
Hello,
let s note x the smaller number
x + (10+x) = 74
10+2x=74
2x=74-10=64
x=64/2=32
y=32+10=42
thanks
Answer:
you solve these by plugging the numbers into pythagorean theorem which is
a^2 + b^2 = c^2 (a squared plus b squared equal c squared)
C is the hypotenuse which is the longest side across from the right angel (assuming all these problems are for right triangles)
so 17 would be 9.5^2 + 3.8^2 = c^2
So 90.25 + 14.44 = c^2
104.69=c^2
Then to solve for c take the square root of each side and get
10.23=c
To do the other ones where a or b doesn’t have a value, it’s almost the same but you just have to plug in the variables in different places and solve it
Step-by-step explanation:
