Answer:
(a) 7 + 3( n - 1 )
(b) 1006
Step-by-step explanation:
ARITHMETIC SEQUENCE.
The number of term of an Arithmetic progression has the formular :
nth term = a + ( n - 1 ) d
a = 7
d = 10 - 7 = 3
nth term = 7 + ( n - 1 ) 3
= 7 + 3n - 3
= 7 + 3( n - 1 )
Therefore,
the nth term of the sequence
= 7 + 3( n - 1 )
(b) For the 1000th term
= 7 + 3 ( 1000-1 )
= 7 + ( 999 )
7 + 999 = 1006
Therefore,
the 1000th term = 1006
Step-by-step explanation:
2x+3(-7+3x)=12
x=3
y=-7+3x3
y=2
(x,y)=(3,2)
Answer:
C. He found the midpoint of a segment.
Step-by-step explanation:
The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.
John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.
Thus the appropriate answer to the question is option C.
