How do u write a rule for th sequence to find the unknown term? 56.38, 51.28, 46.18, 41.08

The next term in sequence is 35.98

The rule for nth term of sequence is Where, n > 0 ( n =1, 2, 3, ....)

Solution:

Given sequence is:

56.38, 51.28, 46.18, 41.08

Let us first find the difference between the terms

Thus the difference between next term and previous term is same

Next term will be,

41.08 - 5.1 = 35.98

Thus the next term in sequence is 35.98

Therefore, the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The formula for nth term of arithmetic sequence is given as:

Where,

= nᵗʰ term in the sequence

= the first term in the sequence

d = the common difference between terms

Here in this sequence

d = -5.1

Therefore,

Where, n > 0 ( n =1, 2, 3, ....)

Thus the rule to find nth term is found

h who knows

step-by-step explanation:

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