So,
You should know that
and
Putting everything together,
Answer:
a) aₙ = 4.(2)^n-1
b) aₙ = 2+3(n-1)
c) aₙ = 3+4(n-1)
d) aₙ = 3.(4)^n-1
Step-by-step explanation:
a) a geometric sequence with first term of 4 and a common ratio of 2
aₙ = ar^n-1
where a is the first term and r is the common ratio
aₙ = 4.(2)^n-1
Comparing with the standard form:
1st term = 4
Common ratio = 2
b) an arithmetic sequence with a first term of 2 and a common difference of 3
The standard form of arithmetic sequence is:
aₙ = a₁ + d(n-1)
where a₁ is the first term and d is the common difference
Given: aₙ = 2+3(n-1)
Comparing with standard equation
First term = 2
Common difference = 3
c) an arithmetic sequence with a first term of 3 and a common difference of 4
The standard form of arithmetic sequence is:
aₙ = a₁ + d(n-1)
where a₁ is the first term and d is the common difference
Given: aₙ = 3+4(n-1)
Comparing with standard equation
First term = 2
Common difference = 3
d) a geometric sequence with first term of 3 and a common ratio of 4
aₙ = ar^n-1
where a is the first term and r is the common ratio
aₙ = 3.(4)^n-1
Comparing with the standard form:
1st term = 3
Common ratio = 4
Answer:
yes
Step-by-step explanation:
6:3 and 8:4
6:3
Divide by 3
6/3: 3/3
2:1
8:4
Divide by 4
8/4: 4/4
2:1
They are the same so they form a proportion
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
x - 2y = - 4 → (1)
2x + y = 7 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
4x + 2y = 14 → (3)
Add (1) and (3) term by term to eliminate y, that is
5x = 10 ( divide both sides by 5 )
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (2)
2(2) + y = 7
4 + y = 7 ( subtract 4 from both sides )
y = 3
Solution is (2, 3 )
12. You do 8/10 times x/15, you multiply 15 times 8 which equals 120 then divide by 10
