What is the explicit form of the following formula of a sequence?a1 = 4, an = 5an-1
Question
What is the explicit form of the following formula of a sequence?a1 = 4, an = 5an-1
Solution
The given sequence is a geometric sequence where the first term a1 is 4 and the common ratio r is 5.
The explicit formula for a geometric sequence is given by:
an = a1 * r^(n-1)
Substituting the given values into the formula, we get:
an = 4 * 5^(n-1)
So, the explicit form of the given sequence is an = 4 * 5^(n-1).
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