Question

Sequences as Functions: Practice

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Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
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Answer 1

The answer is option 4
Explanation:
To find the n term always replace n in the given equation with the term u need
Example:f(n) =2 . 6^(n-1)
Replace n =1 to find the first term
That will be f(1) = 2 . 6^(1-1) = 2 . 6^(0)
( as any number with power 0 is always 1) = 2 . 1= 2

Do the same for 2nd term by replacing n with 2 n so on