We know that
a(n)=4n+1
To find the sum of the first n<span> terms of an arithmetic series
use the formula
</span><span><span>Sn</span>=<span>n(<span>a1</span> + <span>an</span>)/2
</span></span>a1--------------> is the first term
an--------------> is the last term
n--------------- > <span>is the number of terms
</span>we have that
a1------------> 4*(1)+1=5
a30----------> 4*(30)+1=121
n------------- > 30
S30=30*(5 + 121)/2=1890
the answer is 1890
Let the number of months = x , and total budget = y
<span>An inequality to represent the situation:

For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7
∴ T</span>he greatest number of months = 7 <span>months.</span>
Let's rewrite the given fraction 12/17 to a decimal number. Then Let's round to the nearest thousandth.
To do that, divide the numerator by the denominator.
=> 12 / 17
=> 0.7058
Le's round this to
=>0.706
Answer:

Step-by-step explanation:

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>
<em>Have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>
Answer:
Constant of proportionality is y divided by x. y is 2 and x is 4. 2 divided by 4 is 1/2.
Let me know if that is correct.
Step-by-step explanation: