A and P for top are A= 25cm Sq. P= 24cm
A and P for bottom are A= 80yd Sq. P= 38yd
It is not possible to write a sequence that is both arithmetic and geometric.
An arithmetic sequence is:
a0, a0 + d, a0 + 2d, a0 + 3d, ...
An geometric sequence is:
a0, a0r, a0r2, a0r3, ...
So if the two are equal, we have:
a0 = a0,
a0 + d = a0r,
a0 + 2d = a0r2,
a0 + 3d = a0r3,
...
This can only be true if d = 0 and r =1 and only for the first three terms. It's a trivial sequence with only three elements which can't be necessarily classified as a sequence.
It is a geometric sequience.
the general term (an) is:
an=a₁*r^(n-1)
a₁ is the first term=2
r=the common ratio=a₂ / a₁=4/2=2
therefore:
an=2*2^(n-1)
an=2^(n-1)+1
an=2^n
solution: an=2^n
To check
a₁=2¹=2
a₂=2²=2*2=4
a₃=2³=2*2*2=8
a₄=2⁴=2*2*2*2=16 ....
Answer:
5:4
Step by step:
To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.
