Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Answer:
The measure of angle A is 
Step-by-step explanation:
we know that
Applying the law of cosines

substitute the values and solve for cos(A)

![cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°](https://tex.z-dn.net/?f=cos%28A%29%3D%5B22%5E%7B2%7D%2B18%5E%7B2%7D-31%5E%7B2%7D%5D%2F%282%2822%29%2818%29%29%5C%5C%20%5C%5Ccos%28A%29%3D-0.193182%5C%5C%20%5C%5CA%3Darccos%28-0.193182%29%3D101%5C%C2%B0)
They are closer in values.
Answer:
Anthony is incorrect
According to the order of operations(PEMDAS), you must first multiply 10 × 3
which equals 30, then you add 2, which equals 32, finally you subtract 2, which brings you back to 30
10 × 3 = 30
2 + 30 - 2 = 30