Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

also

so substituting
,
in the nth terms



Therefore, the Explicit formula is:

Answer:
x=-1
Step-by-step explanation:
4(x−3)=8(x−1)
Distribute
4x - 12 = 8x -8
Subtract 4x
4x-12 -4x= 8x-8-4x
-12 = 4x-8
Add 8 to each side
-12+8 = 4x-8+8
-4 = 4x
Divide by 4
-4/4 = 4x/4
-1 =x
It is A. Because the point a would be on the -1 and the b would be on the -7 and the c would be on the -4
Answer:
C = 25.12 feet
Step-by-step explanation:
C = 2 x 3.14 x 4
C = 25.12 feet
Answer:
11.37 lb-ft
Step-by-step explanation:
We are given that
Force,F=3 pounds

Let Point A (3,7) and point B(8,8)
We have to find the work done by the force.

feet
We know that Work done by the force

Substitute the values

Hence, the work done by the force =11.37 lb-ft