Solution 2: AMATH/PMATH 331, 2014
1. Note that
3n + 3n = 3 2.
Since n 2 1 as n , we get using the squeeze theorem n 2 + 3n 3 as n .
2. Note that a1 = 0, a2 = 5 + 2a1 = 5 4.
Assume an n+1 4. Then 2an 2an+1 8, and
5 + 2an 5 + 2an+1 13. Hence 5 + 2an
Due on 3 February 2014
1. Show the sequence cfw_ n 2n + 3n converges and nd its limit.
2. Show the sequence cfw_xn dened by a1 = 0; an+1 = 5 + 2an converges and nd its limit.
3. If a sequence cfw_xn satises that xn+1 xn 0,
Math 117 Week 5 DQ 1
When an expressions contains a square root it is called a radical expression. Its important to
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Math 117 week 4 DQ 1
Any function or expression that has a polynomial in the numerator and denominator is a rational
expression. So a rational expression can be written as ratio of two polynomials. As per the text
book it an expression can be written such
7.7 Proportions and Variation
or 1.25in. of rain.
Solve proportions involving direct variation, inverse variation, or joint variation.
$63 increase per added credit taken
No, it is not linear beca
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slope = rise over run
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