Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Answer:
He can add through calculater or by doing addition in his mind
Answer:
x = 13
Step-by-step explanation:
<em>sqrt (x-4) + 5 = 2</em>
<em>The equation is √(x+4) + 5 = 2</em>
√(x-4) = 2 - 5
√(x-4) = -3
x-4 = (-3)²
x-4 = 9
x = 9 + 4
x = 13
Therefore, the second option x = 13 is correct.
!!
Answer:
-200 | -500 | -500-(-200) | -300
-200 | -0 | 0 -(-200) | 200
Step-by-step explanation:
Answer:
soln
A=(9,j)
x1=9,y1=j
B=(10,4)
x2=10,y2=4
slope=1
by using the fomulaof slope,
slope=y2-y1/x2-x1
1 =4-j/10-9
1 = 4-j/1
1=4-j
j=4-1
j=3
