Question

Найдите пятый член геометричной прогрессии в которой : а1= -16, q= -1/4 . Если не трудно поэтапно

Answer 1

a₂ = a₁ * q = - 16 * 0,5 = - 8

a₃ = a₂ * q = - 8 * 0,5 = - 4

a₄ = a₃ * q = - 4 * 0,5 = - 2

Answer 2

Finding the Fifth Term of a Geometric Progression

To find the fifth term of a geometric progression with the given values a1 = -16 and q = -1/4, we can use the formula for the nth term of a geometric progression:

An = a1 * q^(n-1)

Where: - An is the nth term - a1 is the first term - q is the common ratio - n is the term number

Calculating the Fifth Term

Using the given values: - a1 = -16 - q = -1/4 - n = 5

We can calculate the fifth term using the formula:

A5 = -16 * (-1/4)^(5-1)

A5 = -16 * (-1/4)^4

A5 = -16 * (-1/256)

A5 = 4

Therefore, the fifth term of the geometric progression is 4.