Find the nth term of the geometric sequence whose initial term is 7 and common ration is 7.(Your answer must be a function of n.)
7^n is the nth term.
I assume you meant "ratio" where you wrote "ration"
To find the nth term of a geometric sequence, you can use the formula:
an = a1 * r^(n-1)
Where:
an = nth term of the sequence
a1 = initial term
r = common ratio
n = position of the term you want to find
In this case, the initial term (a1) is 7 and the common ratio (r) is also 7. Plugging those values into the formula, we have:
an = 7 * (7)^(n-1)
Therefore, the nth term of the geometric sequence with an initial term of 7 and a common ratio of 7 is given by the function:
f(n) = 7 * (7)^(n-1)