Answer:
Line 3
Step-by-step explanation:
→ Calculate gradient

<h3>
Answer: Trapezoid</h3>
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Explanation:
There are two ways to do this problem.
Method 1 involves listing out the terms until we reach the seventh one.
- square
- hexagon
- trapezoid
- triangle
- square
- hexagon
- trapezoid
- triangle
We see that the trapezoid is term 7.
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Method 2 is faster and the one I recommend.
Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.
7/4 = 1 remainder 3
The remainder 3 means that the answer is found in term 3, which is the trapezoid.
Answer:
The explicit rule of the geometric sequence
aₙ = 187.5 (0.8)ⁿ⁻¹
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the third term of the sequence = 120
tₙ = a rⁿ⁻¹
t₃ = a r³⁻¹ = ar²
120 = ar² ..(i)
Given that the fifth term of the given geometric sequence = 76.8
tₙ = a rⁿ⁻¹
t₅ = a r⁵⁻¹ = a r⁴
76.8 = a r⁴...(ii)
<u><em>Step(ii):</em></u>-
Dividing (ii) and (i)

r² = 0.64
r =√ 0.64 = 0.8
Substitute r= 0.8 in equation (i)
120 = ar²
120 = a(0.8)²
⇒ 
<u><em>Step(iii):-</em></u>
The explicit rule of the geometric sequence
aₙ = a rⁿ⁻¹
put a= 187.5 and r = 0.8
aₙ = 187.5 (0.8)ⁿ⁻¹
Answer:
56
Step-by-step explanation:
Multiply 4 by 14 to get your answer.
Answer:
35 cones
Step-by-step explanation:
21 x $2.50
=52.5
52.5/$1.50
= 35 small cones he can buy