Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
Step-by-step explanation:
0.002
ones is 0
tenths is 0
hundreths is 0
thousandths is 2
Answer:
16 m
Step-by-step explanation:
The situation can be solved by proportion of corresponding sides in 2 right triangles.
let x be the length of shadow cast by oak tree, then
= 
( cross- multiply )
9x = 144 ( divide both sides by 9 )
x = 16
Length of shadow is 16 m
The answer would be 18 because the formula for the area of a triangle is 1/2times base times height. So first you cut half of the base or the height then you times the base and height together.
ie base= 6 height=6
1.) cut half of either so you get 3
2.) then times them both 3 times 6 is 18
Answer:
The last choice: -√2 + 8√6.
Step-by-step explanation:
4√24 - 4√8 + √98
= 4* √4*√6 - 4*√4√2 + √49*√2
= 8√6 - 8√2 + 7√2
= 8√6 - √2
= -√2 + 8√6.
