Answer:
Step-by-step explanation:
a₁ = 1
a₂ = 2(1)+2 = 4
a₃ = 2(4)+3 = 11
a₄ = 2(11)+4 = 26
a₅ = 2(26)+5 = 57
a₆ = 2(57)+6 = 120
Answer:
Square
Step-by-step explanation:
Plot points A (10,-4), B (6,-7), C (3,-3), D (7,0) on the coordinate plane.
Find slopes of the sides:

The slopes of opposite sides are the same, so opposite sides are parallel. The slopes of adjacent sides have product of -1, then adjacent sides are perpendicular.
Find the lengths of all sides:

All four sides are of the same length.
Quadrilateral ABCD is a square (all sides of equal length and perpendicular)
You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles
There are 60 seconds in one minute
3 1/2 minutes = 3 1/2 * 60 = 210 seconds , Answer