The common ratio in a geometric series is 4 and the first term is 3.
Find the sum of the first 8 terms in the series.

65535

Step-by-step explanation:

Sₙ = (a₁ * (1 - rⁿ)) / (1 - r)

S₈ = (3 * (1 - 4⁸)) / (1 - 4) = (3 * - 65535) / (- 3) = 65535

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

not sure but it may be b, as i said i'm not sure.