When n=1 there is 1 dot when n=2 there are 3 dots when n=3 there are 6 dots notice that the total number of dots d(n) increases
1 answer:
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Answer:
a)
b)
c)
Step-by-step explanation:
a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:
The first five terms are:
b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:
The first five terms are:
c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:
The first five terms are:
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
