determine 4th term in the geometric sequence whose first term is -2 and whose common ratio is -5. does anyone know what this can possibly be?

The terms in a geometric sequence are given by: A = ar^(n-1)
where A is the nth term in the sequence.
a = first term in the sequence (-2)
r = common ratio (-5)
n = number of the term (4)

A = (-2)(-5)^(4-1)
A = (-2)(-5)^(3)
A = (-2)(-125)
A = 250

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anuksha0456 anuksha0456 · Answer 2 · 2022-07-20T14:25:11+02:00

The 4th term in the geometric sequence whose first term is -2 and whose common ratio is -5 is 250.

What is a geometric sequence?

A geometric sequence is a special sequence where every term is a product of the previous term and a common ratio.

The n-th term of a geometric sequence, with first term a, and the common ratio r, is given as:

aₙ = a.rⁿ⁻¹.

How to solve the question?

In the question, we are asked to find the 4th term of the geometric sequence whose first term is -2, and the common ratio is -5.

We know that the n-th term of a geometric sequence, with first term a, and the common ratio r, is given as:

aₙ = a.rⁿ⁻¹.

So, substituting a = -2, r= -5, and n = 4, in the above formula we get:

a₄ = (-2)(-5)⁴⁻¹,

or, a₄ = (-2)(-5)³,

or, a₄ = (-2)(-125),

or, a₄ = 250.

Hence, the 4th term in the geometric sequence whose first term is -2 and whose common ratio is -5 is 250.

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https://brainly.com/question/24643676

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