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Cloud [144]
3 years ago
8

Find the next term in the sequence 5, 25, 125, 625

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

the next term would be 3,125! the sequence is multiplying each number by 5.

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Solve the following equation:<br> 9n² - n - 2/3 = 0
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Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

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Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

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3 years ago
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