Find the sum of the first 30 terms of the sequence below. an=4n+1

  1890

Step-by-step explanation:

The sum of the terms of this arithmetic sequence is the product of the number of terms and the average of the first and last term.

  A1 = 4·1 + 1 = 6

  A30 = 4·30 + 1 = 121

The average term in the sequence of 30 terms is (6 + 121)/2 = 63, so the sum of the sequence is ...

  30·63 = 1890

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

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: