Answer:
aₙ = 9n - 31
Step-by-step explanation:
If we call the common difference as d, since 19 - 7 = 12, we can write:
32 + 12d = 140
12d = 108
d = 9 which means that a₁ = a₇ - 6d = 32 - 6 * 9 = -22.
Explicit formula for arithmetic sequence: aₙ = a₁ + (n-1)d so the answer is
aₙ = -22 + (n - 1) * 9
= -22 + 9n - 9
= 9n - 31
Step-by-step explanation:
Solution:Total length of the board=95 cm
:One piece must longer 13 cm than other piece
Equation:95cm=X+X+13cm
:95cm-13cm=2x
:82cm=2x
:X=41 cm-Length of the smaller piece
:X=41cm +13cm=54cm-Length of the larger piece
Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.
I think its the bottom left, i'm not completely sure though.
Answer:1/3
Step-by-step explanation:
2. Format: y = mx + b
Plug in the numbers
Answer: y = x + 3/8
3. Find slope first
(4-5)/(0-3) = -1/-3 = 1/3
Y = 1/3x + b
5 = 1 + b, b = 4
Answer: y = 1/3x + 4