The third term in a sequence is 11.
the term-to-term rule is “take away 4”.
write an expression, in terms of n, for the nth term of the sequence

a(n) = 19 - 4(n-1)

Step-by-step explanation:

The general formula for an arith. seq. is

a(n) = a(1) + (n-1)d, where d is the "term to term rule" or the "common difference," a(1) is the first term and a(n) is the nth term.

Here, a(n) = a(1) - (n-1)(4).

If the 3rd term is 11, then:

a(3) = a(1) - (3-1)(4) = 11, or a(3) = a(1) - 8 = 11

Adding 8 to both sides yields a(1) = 19.

Then the specific expression for the nth term is:

a(n) = 19 - 4(n-1).

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.