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kompoz [17]
3 years ago
15

If the third term in a geometric sequence is 20, and the fifth term in the

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer: A) 1/2

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

If the third term is 20, it means that

T3 = 20 = ar^(3 - 1)

20 = ar²- - - - - - - - - - 1

If the third term is 20, it means that

T5 = 5 = ar^(5 - 1)

5 = ar⁴- - - - - - - - - - 2

Dividing equation 2 by equation 1, it becomes

5/20 = r⁴/r²

1/4 = r^(4 - 2)

(1/2)² = r²

r = 1/2

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IRINA_888 [86]

Step-by-step explanation:

1 Remove parentheses.

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=

bd

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\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

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2

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2

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3

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y

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2

x

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a

x

b

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3

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9 Simplify 2+12+1 to 33.

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3

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−

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