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Sav [38]
3 years ago
7

Write the geometric sequence in function notation.

Mathematics
2 answers:
Anni [7]3 years ago
3 0

Answer:

a(n) = 7*2^(n - 1)

Step-by-step explanation:

The first term of the given geometric sequence, 7, 14, 28, 56, 112, ... , is 7, and the common ratio is 2.  Each new term is twice the previous term.

Thus the general formula for the geometric sequence becomes

a(n) = 7*2^(n - 1).

As a check, let's see whether this formula correctly predicts the fourth term (56):  Here n = 4, and so a(4) = 7*2^(4 - 1) = 7*2^3 = 7*8 = 56.  Yes.

Anit [1.1K]3 years ago
3 0
A( n) =7*2^(n-1)

Hope this helps
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