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Find an explicit formula for the geometric sequence -40,-20,-10......

Note: the first term should be c(1).

c(n)= ?



1 Answer

6 votes

Answer:

The explicit formula for the geometric sequence is
c(n) = -40\cdot \left((1)/(2) \right)^(n-1).

Explanation:

By definition of geometric sequence, we should use the following expression:


c(n) = c_(1)\cdot r^(n-1),
n \ge 1 (1)

Where:


c_(1) - First term.


r - Geometric rate.


n - Position of the element within the series.

If we know that
c_(1) = -40 and
r = (1)/(2), then the explicit formula for the geometric sequence is:


c(n) = -40\cdot \left((1)/(2) \right)^(n-1)

The explicit formula for the geometric sequence is
c(n) = -40\cdot \left((1)/(2) \right)^(n-1).

User StrongJoshua
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