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galina1969 [7]
2 years ago
7

Given the arithmetic sequence 7,13,19,25..write both the explicit and recursive formulas

Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

Step-by-step explanation:

a1=7

a2=13

c.d. d=13-7=6

an=a1+(n-1)d

an=7+(n-1)6=7+6n-6=6n-1

recursive formula

c.d .=an-a(n-1)

6=a_{n}-a_{n-1}

a_{n}=a_{n-1}+6

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Answer:

n = -33

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3 years ago
Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)
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Step-by-step explanation:

Given the expression, (3y ^ 6 + 4)  (9y ^ {12} - 12y ^ 6 + 16), we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\=  (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\

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Using a plus (-) sign to check:

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