Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 60 points. On his third turn,
1 answer:
You might be interested in
Answer:
Jason is 14 year old.
Step-by-step explanation:
Given: Joe, John and Jason are each a year apart in age.
Sum of their age is 39.
Lets assume the age of Joe be x
∴ Age of Jahn will be
And age of Jason will be
Now, putting up an equation for the sum of their age.
∴
Opening the parenthesis.
⇒
⇒
Subtracting both side by 3
⇒
Dividing both side by 3
⇒
∴
Hence, Joe is 12 year old.
Next subtituting the value of x to find age of Jason and John.
Jason=
∴Jason= 14 years.
John age=
∴ John Age= 13 years.
Hence, Jason is 14 year of age.
Answer:
Step-by-step explanation:
First, write some equations so we can figure out the common ratio and the initial term. The standard explicit formula for a geometric sequence is:
Where xₙ is the nth term, a is the initial value, and r is the common ratio.
We know that the second and fifth terms are -21 and 567, respectively. Thus:
Substitute them into the equations:
And:
To find a and r, divide both sides by a in the first equation:
And substitute this into the second equation:
Simplify:
The as cancel out. (-21)^4 is 194481:
Cross multiply:
Take the cube root of both sides:
Therefore, the initial value is 7.
And the common ratio is (going back to the equation previously):
Thus, the common ratio is -3.
Therefore, the equation is: