What is the sum of the first 14 terms of the sequence -11+(-18)+(-25)+(-32)...
1 answer:
The difference between -11 and -18 is -7
the difference between -18 and -25 is <span>-7
</span>the difference between -25 and -32 is <span>-7
</span>
therefore we can say that the difference between all of the terms will be -7.
the first term is -11 -> call this a
the difference is -7 -> call this d
the number of terms is 14 -> call this <span>n
</span>
use the equation (sum of)
= 
(2a + (n-1)d)
(sum of) = 
(2 x -11 + (14-1)-7)
= -7(-22 + (13 x -7))
= -7(-22 + -91)
= -7(-111)
= 777
the difference between -18 and -25 is <span>-7
</span>the difference between -25 and -32 is <span>-7
</span>
therefore we can say that the difference between all of the terms will be -7.
the first term is -11 -> call this a
the difference is -7 -> call this d
the number of terms is 14 -> call this <span>n
</span>
use the equation (sum of)
(sum of)
= -7(-22 + (13 x -7))
= -7(-22 + -91)
= -7(-111)
= 777
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Answer:
218
Step-by-step explanation:
first find the area of the circle-
to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).
Now I know the height is 12. Find the area of the triangle
subtract the area of the triangle from the area of the circle
314-96=218
For problem one she starts off earning 10.24 dollars per hour. She receives a raise of 1.60 dollars. So first you have to add both 10.24 and 1.60 together to find out how much more she is payed. 10.24+1.60=12.04. She works 22.25 hours. It would take forever to add 12.04 22 and a quarter times so you multiply them. 12.04*22.25=267.89. So she would earn 267.89 dollars from working 22.25 hours.
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