The 8th term of this geometric sequence 5,-10,20,-40 = -640.
What is a geometric sequence?
A geometric sequence is one in which every number is the product of its previous number and a constant ratio.
The first term is taken as a, the constant ratio is taken as r. The n-th term of such a series is given as aₙ = a.rⁿ⁻¹.
How to solve the given question?
In the question, we are asked to find the 8th term of the geometric sequence 5, -10, 20, -40.
The first term (a) = 5.
The constant ratio (r) = -10/5 = -2.
We will find the 8th term using the formula of the n-th term aₙ = a.rⁿ⁻¹.
Therefore, 8th term = 5(-2)⁸⁻¹ = 5 * (-2)⁷ = 5 * (-128) = -640.
The 8th term of this geometric sequence 5,-10,20,-40 = -640.
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