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pshichka [43]
3 years ago
6

What is the nth ternm of this sequence -4,1,6,11,16, a 5n-4 b -4n+5 c -9n d 5n-9

Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

Answer:

  • d. 5n-9

Step-by-step explanation:

<u>Given sequence:</u>

  • -4, 1, 6, 11, 16, ...

<u>It is an AP with:</u>

  • The first term is a = -4
  • Common difference is d = 5

<u>Nth term of this sequence is:</u>

  • aₙ = a + (n - 1)d
  • aₙ = - 4 + 5(n - 1) = -4 + 5n - 5 = 5n - 9

Correct option is d.

Nookie1986 [14]3 years ago
7 0

Answer:

<h2>d. (5n-9)</h2>

Step-by-step explanation:

  • First term = -4
  • Common difference = 1-(-4)=1+4=5
  • Formula used: L =a+(n-1)d

where, L is the last term;

a is the first term ;

n is the number of terms;

and d is the common difference.

  • <em>L = -4+(n-1)5= -4+5n-5 = 5n-9</em>

Therefore, the last term is (5n-9).

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Give triangle ABC is a right triangle, and angle A is the right angle. If sin(B)=3/5, find the cos(B).
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Answer:

Cos B = 4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine B = 3/5

Cos B =?

Recall:

Sine B = Opposite / Hypothenus

Sine B = 3/5

Therefore,

Opposite = 3

Hypothenus = 5

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = 3

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Adjacent =?

Hypo² = Adj² + Opp²

5² = Adj² + 3²

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Collect like terms

Adj² = 25 – 9

Adj² = 16

Take the square root of both side

Adj = √16

Adjacent = 4

Finally, we shall determine Cos B. This can be obtained as follow:

Hypothenus = 5

Adjacent = 4

Cos B =?

Cos B = Adjacent / Hypothenus

Cos B = 4/5

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