⎧ a(1)=−2 a(n)=a(n−1)−5 Find the 4^{\text{th}}4 th 4, start superscript, start text, t, h, end text, end superscript term in the sequence.

  -17

Step-by-step explanation:

When the sequence is defined recursively, it is often easiest just to evaluate the next term from the previous one. Here, each term is 5 less than the previous, so the first terms are ...

  -2, -7, -12. -17, ...

The 4th term is -17.

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.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.