Answer:
The sequence of first five terms
4 , 5, 6, 7, 8
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given 
of the sequence
aₙ = n + 3 ..(i)
put n =1
a₁ = 1 +3
a₁ = 4
The first term of the sequence = 4
Put n =2 in equation (i)
a₂ = 2+3
a₂ = 5
The second term of the sequence = 5
put n=3 in equation (i)
a₃ = 3+3 = 6
The third term of the sequence = 6
Put n=4 in equation (i)
a₄ = 4 +3
a₄ = 7
The fourth term of the sequence = 7
Put n = 5 in equation (i)
a₅ = 5+3
a₅ = 8
The fifth term of the sequence = 8
<u><em>Step(ii):-</em></u>
The sequence of first five terms
4 , 5, 6, 7, 8
Answer:
Sara read 17 more
Step-by-step explanation:
81-64=17
64+17=84
We are to solve the total area of the pyramid and this can be done through area addition. We first determine the area of the base using the Heron's formula.
A = √(s)(s - a)(s - b)(s - c)
where s is the semi-perimeter
s = (a + b + c) / 2
Substituting for the base,
s = (12 + 12 + 12)/ 2 = 18
A = (√(18)(18 - 12)(18 - 12)(18 - 12) = 62.35
Then, we note that the faces are just the same, so one of these will have an area of,
s = (10 + 10 + 12) / 2 = 16
A = √(16)(16 - 12)(16 - 10)(16 - 10) = 48
Multiplying this by 3 (because there are 3 faces with these dimensions, we get 144. Finally, adding the area of the base,
total area = 144 + 62.35 = 206.35
Answer:
30 years
Step-by-step explanation:
2 is a factor of 30, so the LCM of 2 and 30 is 30.
Saturn and Mars will appear in the same direction in the night sky every 30 years.
