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2 years ago

What is the explicit rule for this geometric sequence? 29,23,2,6,.

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1 answer:

solong [7]2 years ago

5 0

The explicit rule for this geometric sequence 29,23,2,6, is n = 29 × (29/23)^(n - 1)

<h3>How to write explicit rule</h3>

First term, a = 29

Second term, a×r = 23

23 = 29 × r

23 = 29r

r = 29/23

Common ratio, r = 29/23

The explicit formula is given by

nth term = ar^(n - 1)

n = 29 × (29/23)^(n - 1)

Where,

nth term = number of terms

Learn more about explicit rule:

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Answer:

The value of a is 150 and b is 4822.

Explanation:

First, you have to expand to remove brackets :

$(5372 + 100 {y}^{2} ) + 5(10 {y}^{2} - 110)$

$= 5372 + 100 {y}^{2} + 50 {y}^{2} - 550$

Next, you have to simplify :

$100 {y}^{2} + 50 {y}^{2} + 5372 - 550$

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Next, you have to compare it :

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