2) Write an equation that
describes the sequence:
2, 7, 12, 17. Find the 24th term.

see explanation

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 2 = 12 - 7 = 17 - 12 = 5

This indicates the sequence is arithmetic with nth term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 5 , then

= 2 + 5(n - 1) = 2 + 5n - 5 = 5n - 3

Then

a₂₄ = 5(24) - 3 = 120 - 3 = 117

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.