<u>Given</u>:
Given that the first term of the geometric sequence is 729.
The common ratio is 
We need to determine the seventh term of the sequence.
<u>Seventh term</u>:
The seventh term of the sequence can be determined using the formula,
To find the seventh term, let us substitute n = 7 in the above formula, we get;
Now, substituting 
and 
, we get;
Thus, the seventh term of the geometric sequence is 1.
Actually, this answer would be true. Why?
The first equation is: a(sub <em>n</em>) = 8, 13, 18, 23
The second is: a(sub 1)=8 ; a(sub <em>n</em>)= a(sub <em>n</em>-1)+5
if you wish to find the second term, plug two into the equation for <em /><em>n</em>
8+5=13
to find the third, plug the second term, 13, in for <em>n.</em>
13+5=18.
Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!
Answer:
The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Step-by-step explanation:
The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:
2(base area)+2(back area)+2(side area)
=2((base area)+(back area)+(side area))
Area of blue prism = 2((base area)+(back area)+(side area))
=2((4*2)+(4*10)+(2*10))
=2(8+40+20)
=2(68)
=136 cm²
Area of green prism = 2((base area)+(back area)+(side area))
=2((10*5)+(25*10)+(25*5))
=2(50+250+125)
=2(425)
=850 cm²
850cm² is 6.25 times greater than 136cm² <em>(850/136=6.25)</em>, so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Answer:
If the question is How many T-Shirts does the school have, it will be 57 T-Shirts
Step-by-step explanation:
684 divided by 12 is 57
