We know that
Part a) <span>Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4
t1=3
t2=t1+4----> 3+4-----> 7
t3=t2+4-----> 7+4----> 11
t4=t3+4-----> 11+4---> 15
t5=t4+4-----> 15+4---> 19
the answer Part a) is 19
Part b) </span><span>Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10
we know that
tn=t1+(n-1)*d-----> d=[tn-t1]/(n-1)
t1=2
t4=-10
n=4
find the value of d
d=[-10-2]/(4-1)-----> d=-12/3----> d=-4
find the </span>tenth term (t10)
t10=t1+(10-1)*(-4)----> t10=2+9*(-4)----> t10=-34
the answer Part b) is -34
Part c) <span>Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1
t1=3
t2=2*t1----> 2*3----> 6
t3=2*t2----> 2*6----> 12
t4=2*t3-----> 2*12---> 24
t2=2*t4----> 2*24----> 48
the answer Part c) is 48</span>
Answer:
9240 feet
Step-by-step explanation:
Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.
Step 1
The total distance Petrov ran in miles is calculated as:
1 lap = 1/4 mile
7 laps = x mile
Cross Multiply
x = 7 × 1/4 mile
x = 1.75 miles
Step 2
What is the total distance Petrov ran in feet?
1 mile = 5280 feet
1.75 miles = x
Cross Multiply
x = 1.75 × 5280 feet
x = 9240 feet
Therefore, the total distance Petrov ran in feet is 9240 feet
Volume of a sphere: V=(4/3)πr³
V1=(4/3)π10³
V2=(4/3)π5³
difference: (4/3)π10³-(4/3)π5³=(4/3)π875=3665
the answer is B.<span />
Answer:(3,0) , (-2,0)
Step-by-step explanation:To find the x-intercept, substitute in 0 for y and solve for x
Answer: y = 3x - 2
the equation is y = ax + b (a ≠ 0)
see in the picture, the line passes through (0;-2) and (2;4)
because the line passes through (0;-2) => b = -2
the line passes through (2;4) => 2a + b = 4
have: b = -2
2a + b = 4
⇔ a = 3
b = -2
=> the equation is y = 3x - 2
Step-by-step explanation:
