Answer:
1, 2, 4, 5, 7
Step-by-step explanation:
The function rule tells you what you must do to each input (x) value in order to find the value of the function (h(x)).
<h3>Rule</h3>The function rule here tells you that 2 is added to the x-value.
For example, for x = -1, ...
h(x) = x +2 . . . . . . given function rule
h(1) = -1 +2 = 1 . . . . . . put the value of x where x is, and do the arithmetic
Given:
The sequence is
1, 4, 16, 64
To find:
The general term of the given sequence.
Solution:
We have, the sequence
1, 4, 16, 64
Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.
First term is:
Common ratio is:
The nth term of a geometric sequence is
...(i)
Where, a is the first term and r is the common ratio.
Putting a=1 and r=4 in (i), we get
Therefore, the general term of the given sequence is .