Answer:
1134.62 (THE SUM OF 20 TERMS)
Step-by-step explanation:
First we write out our given information:
a8=2a2
a11=18
an is an arithmetic sequence.
Where here an means the nth term of our sequence.
What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:
an+1=an+c
Equivalently:
an+1−an(n+1)−n=c
So an is of slope c (c2 is another constant):
an=cn+c2
Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)
Now we use the other given information to try to come up with a solution.
Let n=2:
a2=2c+c2
Let n=8, using the above equation we have:
a8=8c+c2=2a2=4c+2c2
Let n=11
a11=18
a11=11c+c2
But a11−a8=(11c+c2)−(8c+c2)=3c
Hence, a11=3c+a8
a11=3c+4c+2c2=18
a11=3c+8c+c2=18
Answer:
12
Step-by-step explanation:
the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x
solving that gives you x =12
Answer:
There would be 45 stars in a stage 15 patteren
To
answer this question we have to first determine how many times 100
can go into 13,300. To find this we do the following:
<span>$13,300/$100
= 133</span>
<span>Now
we simply multiply the result by $2.74:</span>
<span>$2.74*133
= $364.42.</span>
<span>Finally
we just multiply that by the total number of payments which are
(monthly payment, 12 months in a year, for 4 years).</span>
<span>$364.42*(12*4)
---> $364.42*48 = $17,492.16.</span>
The correct answer is choice 4.) 17,492.16
<span>I
hope this helps, Regards.</span>
Answer:
Slope = 2
Step-by-step explanation:
Slope = 20/10 = 2