What is the nth term rule of the linear sequence below? 5,8,11,14,17

(btw it says the nth term not the 9th.)

9514 1404 393

  an = 5 +3(n -1)

Step-by-step explanation:

The n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Here, you have first term a1=5 and common difference d=8-5=3, so the n-th term is ...

  an = 5 +3(n -1)

If you like, you can simplify this to ...

  an = 5 +3n -3

  an = 3n +2

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3