10. you are given the first four terms of an arithmetic sequence. why might you

use a recursive formula? why might you use an explicit formula? under what

conditions might a recursive formula be preferred over the explicit formula?

under what conditions might an explicit formula be preferred over the

recursive formula?

1)It might be more convenient to write some Arithmetic Sequences as functions.

2) Whenever I need to find out any term of a given Sequence, as long as I know which value is for "n"

3)If it is known the previous term of a Sequence you might prefer it over the explicit one.

Step-by-step explanation:

1) Why might you  use a recursive formula?

It might be more convenient to write some Arithmetic Sequences as functions. Since you know the previous term.

Imagine we just have (...,4,... from an Arithmetic Sequence whose common difference is 5.

Example:

2) Why might you use an explicit formula?

Whenever I need to find out any term of a given Sequence, as long as I know which value is for "n"

For the same Sequence, let's use the explicit one:

3) Under what  conditions might a recursive formula be preferred over the explicit formula?

If it is known the previous term of a Sequence you might prefer  it over the explicit one.

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

f is the midpoint of