Find the 14th term of the arithmetic sequence 5x+2, -2x+7, -9x+12, ...

Step-by-step explanation:

common difference d = a₂-a₁ = (-2x+7)-(5x+2) = -7x+5

a₁₄ = a₁+13(-7x+5)

 = (5x+2) - 91x + 65

 = -86x + 67

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Step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

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hope this !