Answer:
Step-by-step explanation:
The nth term of the given arithmetic sequence is
The first term of this series is:
The last term of this series is when
The sum of the first n terms of an arithmetic series when the first an last term is known is given by:
Where a=5 is the first term and l=27 is the last term.
Answer:
Step-by-step explanation:
17.7+8.3+13.0+2090=24.805g
Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720
The point slope form of a line is written as y - y1 = m(x -x1)
Where m is the slope and x1 and y1 are the points on the line.
You are told the slope is 3 and the point is (2,-1/2)
x1 is 2 and y1 is -1/2
Replace those in the equation to get:
y- (-1/2) = 3(x-2)
Simplify to get the final answer:
y + 1/2 = 3(x-2)
M^2 - 2mn + n^2
(-2)^2 -2(-2)(4) + 4^2
4 + 16 + 16
36
