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Use the sequence below to complete each task. 7680, 1920, 480,... a. Identify the common ratio (r). b. Write an equation to represent the sequence. C. Find the 6th term (a.)

User Hollsk
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1 Answer

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a) To determine the common ratio, we would divide a term by its previous term. Looking at the given sequence,

common ratio, r = 1920/7680 = 480/1920 = 0.25

b) This is a geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

Tn represents the value of the nth term

a represents the value of the first term

n represents the number of terms

r represents the common ratio

Looking at the given sequence,

a = 7680

r = 0.25

The equation to represent the sequence is

Tn = 7680(0.25)^(n - 1)

c) To find the 6th term, T6, n = 6

Therefore,

T6 = 7680(0.25)^(6 - 1) = 7680(0.25)^5

T6 = 7.5

The 6th term is 7.5

User Ftagliacarne
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