Answer:
173522
Step-by-step explanation:
1764(98) is 172872. Then add 650, giving you 173522.
Given:
...(i)
For 
.
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
Now,
First term: 
Common difference:
nth term of a GP is
Putting a=3 and r=2, we get
Therefore, the equation for the nth term is .
For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
Answer:
Average Velocity= 70 miles per hour
Step-by-step explanation:
Distance= s
Time = t
s(t)=10t^2
Putting the values
s(2) = 10 (2)^2= 10&4
s= 40
s(5) = 10 (5)^2 = 10*25
S(5)= 250
The average velocity is defined as the rate of change of speed in unit time.
So
Speed= distance/time
Velocity = Speed in a definite direction
Average Velocity= Displacement/ Time
Average Velocity= Change in distance/ Change in time
s(5) - s(2)/ t(5)- t(2)
= 250-40/5-2= 210/3= 70 miles per hour
Answer:
fx
Step-by-step explanation:
