Answer:
Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form
d is the common difference, can be found by:
Subtituting the 
and 
You get:
Method 2 (Mathematical induction):
Assume it is in form
Base step: 
Inducive hypophesis:
GIven: 
Proved by mathematical induction
Answer:
Step-by-step explanation:
No
Just general definitons:
a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)
the degree is the highest exponent found in the algebraic expression
so they should be pretty easy to solve with that information, but just in case:
1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2
for the final question, all you have to do is plug in 2 for x, so
(2)^2 - 2(2) + 1
4 - 4 + 1
so the answer is 1
Answer:
a= Apple = 3
b= Banana =5
v= Lollypop=1
Step-by-step explanation:
36 is divided into 2 giving us 18
Let apple=a
Banana=b
Lollypop=c
In the first half
An apple + 3 bananas=18
a+3b=18 (1)
Second half is further divided into 2
That is,
18÷2=9
First half of the second half
3apples=9
3a=9 (2)
Second half of the second half
1 apple + 1 banana + 1 lollypop=9
a+b+c=9 (3)
a+3b=18 (1)
3a=9 (2)
a+b+c=9 (3)
From (2)
3a=9
Divide both sides by 3
a=9/3
a=3
Substitute a=3 into 1
a+3b=18
3+3b=18
3b=18-3
3b=15
Divide both sides by 3
b=15/3
=5
b=5
Substitute the value of a and b into (3)
a+b+c=9
3+5+c=9
8+c=9
c=9-8
c=1
Therefore,
a= Apple = 3
b= Banana =5
v= Lollypop=1
