Answer:
Step-by-step explanation:
I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)
For 2,9,16,23...
Recursive is a(n+1)=an+7
Explicit is an=2+7(n-1)
(or more neatly an=7n-5)
For 2,14,98,686...
Recursive is a(n+1)=7an
Explicit is an=2(7^(n-1))
(or (2/7)7^n )
In the attachment this is how i did it! ~Best of Luck~
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
The answer is y<x+4,y≥-3x-2
