Answer:
x=8,-9
Step-by-step explanation:
Let the consecutive integers be x and x+1.
Then,
x + (x + 1) = 23
=> x + x + 1 = 23
=> 2x + 1 = 23
=> 2x = 23 - 1
=> 2x = 22
=> x = 22/2
=> x = 11
So, the integers are:
x = 11
and x + 1 = 11 + 1 = 12
So, the consecutive integers are 11 and 12.
The first three terms of sequence are 9 , 6 , 3
<em><u>Solution:</u></em>
Given the recursive function f(n) = f(n - 1) - 3
Where f(1) = 9
To find: First three terms of sequence
Substitute n = 2 , n = 3 and n = 4 in given recursive function
When n = 2
f(n) = f(n - 1) - 3
f(2) = f(2 - 1) - 3
f(2) = f(1) - 3
f(2) = 9 - 3 = 6
f(2) = 6
Thus second term is 6
When n = 3
f(3) = f( 3 - 1) - 3
f(3) = f(2) - 3
f(3) = 6 - 3 = 3
f(3) = 3
Thus the third term is 3
When n = 4
f(4) = f( 4 - 1) - 3
f(4) = f(3) - 3
f(4) = 3 - 3
f(4) = 0
Thus the fourth term is 0
Thus first three terms of sequence are 9 , 6 , 3
15 is the correct answer.
Pythagoras theorem is used to find the hypothenuse of a right triangle. (m2 C=90 meaning it’s a right triangle)
a^2+b^2=c^2
8^2+b^2=17^2
After finishing the equation, you get 15.
