Find the common ratio of the geometric sequence 17, -51, 153, ...

an = 17 ( − 3 ) n − 1

Step-by-step explanation:

Use the formula an = a 1 r n − 1 to identify the geometric sequence.

the nearest power is 1.651.

means 7482 to the 1.651th power is almost equal to 2489287

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this