Answer:
The 26th term of an arithmetic sequence is:
Hence, option A is true.
Step-by-step explanation:
Given
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = -33 and d = 4 in the nth term of the sequence
Thus, the nth term of the sequence is:
now substituting n = 26 in the nth term to determine the 26th term of the sequence
Therefore, the 26th term of an arithmetic sequence is:
Hence, option A is true.
Answer:
(f+g)(x) = -3x+5
Step-by-step explanation:
f(x)=x+8 and g(x)=-4x-3
(f+g)(x) = f(x) + g(x)
= x+8+-4x-3
= -3x+5
Answer:
y = (3/2)x + 11/2
Step-by-step explanation:
As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is
m = rise / run = 6/4 = 3/2.
Subbing the knowns into the general point-slope form of the equation of a straight line, we get
y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).
This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.
Answer:
Step-by-step explanation:
12=3x4
3= 2+1
4= 2+2 or 2x2=4
