Answer:
Step-by-step explanation:
AB/DE = BC/EF = AC/DF
The recursive formula for this sequence is 
= -7; 
= 
+ 10
Step-by-step explanation:
The recursive formula of the arithmetic sequence is:
= first term; = + d
- is the first term in the sequence
- is the nth term in the sequence
- the term before the nth term
- n is the term number
- d is the common difference
∵ The sequence is -7 , 3 , 13 , 23 , 33 , 43 , ........
∵ 3 - (-7) = 3 + 7 = 10
∵ 13 - 3 = 10
∵ 23 - 13 = 10
- There is a constant difference 10 between the consecutive terms
∴ The sequence is an arithmetic sequence
∵ The first term is -7
∴ = 7
∵ The common difference is 10
∴ d = 10
- Substitute in the formula above by -7 and d by 10
∴ = -7; = + 10
To check the formula find the second term
∵ n = 2
∴ = -7; 
= 
+ 10
∴ = 
+ 10
∵ = -7
∴ = -7 + 10 = 3 which is right
The recursive formula for this sequence is = -7; = + 10
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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Answer:
a3 = 45
Step-by-step explanation:
a1 = 20
an = a(n-1) *3/2 where n is the term number
a2 = a(2-1) *3/2
a1 *3/2
We know a1 = 20
a2 = 20*3/2 = 30
a3 = a(3-1) *3/2
= a2 *3/2
We know a2 = 30
= 30*3/2 = 45
So there is two parts to this question?
If these are the given choices of the above problem,
a. one side and one angle are equal.
<span>b.three sides are equal </span>
<span>c.two angles are equal </span>
<span>d. three angles are equal
Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.
Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
2) A pair of corresponding sides and the included angle are equal (SAS)
3) A pair of corresponding angles and the included side are equal (ASA)
4) A pair of corresponding angles and a non-included side are equal (AAS)</span>
