Answer 10
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
1
a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
a
n
=
1
+
(
3
)
(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
from
1
1
.
a
n
=
3
n
−
2
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
Answer:
£78.4
Step-by-step explanation:
Since he earns £9.80 per hour, we multiply this by how many hours there are. So £9.80 times 8 is £78.4. I hope this helps!
Answer:
m = 3 , n = 4
Step-by-step explanation:
<u>Using Section Formula.</u>
<u />
<u />
![Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3](https://tex.z-dn.net/?f=Here%20%28x_1%20%2C%20y_%201%20%29%20%3D%20%28%20-7%20%2C%201%20%29%20%5C%20and%20%5C%20%28x_%202%20%2C%20y%20_%202%20%29%20%3D%20%28m%20%2C%206%29%5C%5C%5C%5Cratio%5C%20a%3Ab%20%20%3D%203%20%3A%202%5C%5C%5C%5CTherefore%2C%20P%20%28x%2C%20y%29%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B3m%20%2B%20%282%5Ctimes%20-7%29%7D%7B5%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5B%20%5C%20x%20%3D%20%20-1%20%5C%20%5D%20%5C%5C%5C%5C-1%20%3D%20%5Cfrac%7B3m%20-%2014%7D%7B5%7D%5C%5C%5C%5C-%205%20%3D%203m%20-%2014%5C%5C%5C%5C-5%20%2B%2014%20%3D%203m%5C%5C%5C%5C9%20%3D%203m%20%5C%5C%5C%5Cm%20%3D%203)
<u />
<u />
