Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Preserved the size because 12inchs is = to 1 ft.
Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
The area of a trapezoid if found using the formula
A = (base1 + base2)/2 x height
Area = (3+5)/2 x 1.5
Area = 8/2 x 1.5
Area = 4 x 1.5
Area = 6 square feet.
acceleration of ball is 
Step-by-step explanation:
Initial Velocity = 12m/sec
time = 36 s
Final Velocity 0 m/sec (ball comes to stop)
Acceleration= ?
The formula used to find acceleration is:
Putting values and finding acceleration:
So, acceleration of ball is
Keywords: Acceleration
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