Question

Find a12 given the geometric sequence 4, 8, 16, 32, ...

Answer 1

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

How to find a determined element of a geometric sequence by exponential formulae

Sequences are series of elements generated according to at least one condition, usually equations. geometric sequences are generated according to a exponential formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹    (1)

Where:

• a - First element of geometric sequence
• b - Common ratio of the geometric sequence
• n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

To learn more on geometric sequences: brainly.com/question/4617980

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