The difference between each term is
-5, i.e. we know one of our terms is -5n. Now we just need to adjust it to get u1 correct. At n=1, -5n would give us -5 therefore we need to add 6 to get to 1. This gives us our equation:

Now we can work out the sum easily (we can use an equation using the above but personally I prefer the other one as it's less prone to mistakes):

We know n is 12, and we know u1 is 1, and we also know the difference is -5.
Substituting this in:
Answer:

Step-by-step explanation:
The given expression is 
The distributive property is given by

Using the distributive property, distribute x^5 over the parenthesis

On simplifying, we get

Therefore, the equivalent expression is 
Answer:
x > 1
Step-by-step explanation:
Subtract 2 from both sides
-26 + 13x > -13x
Add 26 to both sides
13x > -13x + 26
Add 13x to both sides
13x + 13x > -13x + 26 + 13x
Simplify
26x > 26
So x > 1
Answer:
225 necklaces.
Step-by-step explanation:
Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.
t = b/12 ... where t is the total amount of necklaces and b is the number of beads you have
t = 2700 / 12
225 necklaces.
For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.