we know that a₁ = 1, and aₙ = aₙ₋₁ + 2, is another way of saying, we add 2 to get the next term, namely, 2 is the common difference.
![\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=1\\ d=2\\ n=7 \end{cases} \\\\\\ a_7=1+(7-1)2\implies a_7=1+12\implies a_7=13](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20an%20arithmetic%20sequence%7D%0A%5C%5C%5C%5C%0Aa_n%3Da_1%2B%28n-1%29d%5Cqquad%0A%5Cbegin%7Bcases%7D%0An%3Dn%5E%7Bth%7D%5C%20term%5C%5C%0Aa_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5C%0Ad%3D%5Ctextit%7Bcommon%20difference%7D%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Aa_1%3D1%5C%5C%0Ad%3D2%5C%5C%0An%3D7%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0Aa_7%3D1%2B%287-1%292%5Cimplies%20a_7%3D1%2B12%5Cimplies%20a_7%3D13)
The first time the band leader selects one member, the probability that either you or your brother gets selected would be 2 out of 80 or in fraction 2/80.
Now, once one of you gets chosen, for the next selection, there are only 79 members left and the probability that the remaining one (between you and your brother) gets selected after is 1/79.
So, if you are both to be selected, the combined probability for that to happen will be (2/80)(1/79) = 1/3160.
Therefore, the answer is 1/3160<span>.</span>
Ok.... so the first part is asking you what the perimeter of the picture itself is.
The picture is 5in by 7in.... SO you add 5+5+7+7=24.... So the perimeter of the pic is 24 inches.
Now part b
So the frame is one inch thick
This mean that the sides are now 2 inches longeron each side
SO we have 7+7+9+9=32
So the perimeter is 32
I hope that helped!!!!! If you dont understand something ask and i will reexplain ;)
Answer:
Hence the correct answer is option (A) 4.708.
Step-by-step explanation:
Solution:-
Now, we need to find the angle of the sector by using sector formula,
We now convert the angle to radian
Now we calculate the length of arc by arc formula
So, The length of steel that must be replaced is 4.708 ft.
