A. Sigma notation
The formula for finding the nth value of the geometric series
is given as:
an = a1 * r^n
Where,
an = nth value of the series
<span>a1 = 1st value in the geometric series = 940</span>
r = common ratio = 1/5
n = nth order
The sigma notation for the sum of this infinite geometric
series is therefore,
(see attached photo)
B. Sum of the infinite geometric series
The formula for calculating the sum of an infinite
geometric series is given as:
<span>S = a1 / (1 – r)</span>
Substituting the given values:
S = 940 / (1 – 1/5)
<span>S = 1,175</span>
Answer:
Distributive Property
Step-by-step explanation:
In this property a(b + c) = ab+ac; what's going on in your example is similar; the 3x is being distributed to 4 and 5.
If you multiply 40 by 100 and subtract by 54 and add 2 divided by 3 and theres your answer!
Answer: The answer is (16 × 4 and 15 × 3) and (8 × 8 and 7 × 7).
Step-by-step explanation: Given that the area of the frame was 64 sq. inches. We need to find the two possible sets of dimensions that we can use to make the frame with such area.
Since the outer lining of the frame is 1 inch larger than the inner lining, so the length and breadth of the outer lining will be length and breadth of the inner lining plus one.
Given area of the frame is 64 sq. inches, so the possible sets of dimensions that we can use are given by
(a) Outer 16 × 4 and inner 15 × 3,
(b) Outer 8 × 8 and inner 7 × 7.
Answer:
19,16
Step-by-step explanation: