Using the general recursive formula, he 25-th term in the arithmetic sequence is 29.7
<h3>
How to find the value of a₂₅?</h3>
Here we have an arithmetic sequence with the first term a₁ = 3.3 and the common difference is d = 1.1
Remember that the general arithmetic recursive formula is:
aₙ = a₁ + (n - 1)*d
This formula allows us to find the n-th term of the arithmetic sequence only using the first term and the common difference.
In this case, we just need to replace n by 25 and the values written above.
a₂₅ = 3.3 + (25 - 1)*1.1 = 29.7
We can conclude that the 25th term in the sequence is 29.7
If you want to learn more about arithmetic sequences:
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Answer:
y = -1/4x - 5/2.
Step-by-step explanation:
I am assuming you mean y = -1/4x + 5.
This has slope of -1/4 so the required equation has the same slope ( as they are parallel).
Using the point-slope form of the equation of a line:
y - (-3) = -1/4(x - 2)
y + 3 = -1/4(x - 2)
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
Answer:
Question one: 3rd option
(Pt. 2 written):
b=ac^2
b=1/8 (4)^2
b= 2
Question two: It is option 2
(Pt. 2 written):
v= m-k
v= -2+7
v= 5
Question three: option 2
(Pt. 2 written):
q=ps/r
q=14(-4)/-7
q=-56/-7
q=8
Question four: It is choice number 3
(Pt. 2 written):
m=3n/4
m=3(8)/4
m=24/4
m=6
Question five: It is choice number 2
(Pt. 2 written):
x=wy+z
x=-8(-5)+6
x=40+6
x=46
*The diagram is in the attachment
Answer:
q = 2√14
Step-by-step explanation:
To determine the value of q, apply the leg rule/geometric mean theorem, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 10 + 4 = 14
Leg = q
Part = 4
Plug in the values into the equation:
14/q = q/4
Cross multiply
q*q = 14*4
q² = 56
q = √56
q = √(4*14)
q = 2√14
Answer:
See explanation below.
Step-by-step explanation:
Take the original number and move the decimal from right to left, one place at a time. Stop just next to the last number, and count the number of times you moved the decimal. The number of times it moved is the exponent of 10. See examples below:
285 is the same as 2.85 x 10^2
3721 is the same as 3.7 x 10^3
88700000 is the same as: 8.87 x 10^7
Hope this helps!! Have an Awesome Day!! :-)