Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
Answer:
please be more specific
Step-by-step explanation:
none
Step-by-step explanation:
y = 15× tan25° = 15×0.466 = 6.99 m
r (Hypotenuse) = 15/cos25° = 15/0.906
= 16.56m
the total height = 6.99+16.56 = 23.55 m

The change in the sign of the x coordinate transformed and no change in value of y coordinate shows transformation with y axis.
Answer:
51.0285714…
Step-by-step explanation:
you just multiply them together.