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What is the value of the fourth term in a geometric sequence for which a1= 30 and r= 1/2

1 Answer

4 votes

Answer:


\huge\boxed{\sf a_4 = 3375}

Explanation:

Given data:

a₁ = 20

r = 1/2

n = 4 (we have to find the fourth term)

Formula to use:


a_n=a_1r^(n-1) (Geometric sequence)

Solution:

Put the given data in the above formula.

So,

a₄ = (30)(1/2)⁴⁻¹

a₄ = (15)³

a₄ = 3375


\rule[225]{225}{2}

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