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
Hey there!
-11b + 7 = 40
- SUBTRACT by 7 on each of your sides.
-11b + 7 - 7 = 40 - 7
Cancel out: 7 - 7 because that gives you 0
Keep: 40 - 7 because it helps us solve for our answer
40 - 7 = 33
11b/-11 = 33/-11
Cancel out: -11b/-11 because it equals 1
Keep: 33/-11 because it gives you -3
33/-11 = 33 ÷ -11 = 3
<h3>
<u>b</u><u> = -3 </u></h3>
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Value of the investment (loss of 13.8dollars)
48.48-13.8=34.65dollars
The answer is 73,990.0 hope i help
Write an equation of the direct variation that includes the given point (-8, -4)
Direct variation is y= kx for some constant k
Find k using the point (-8,-4)
y=kx
(-4)=k(-8) substitution
-4/-8=k(-8/-8) division property
1/2=k
equation of direct variation is y=1/2k
