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1 year ago

Find the nth term of the sequence -2,6,14,22...

Mathematics

1 answer:

ankoles [38]1 year ago

6 0

Answer:

$\boxed{a_{n} = 2(4n - 5)}$

Step-by-step explanation:

Given :

⇒ a = -2

⇒ d = 14 - 6 = 8

Formula for nth term :

$\boxed {a_{n} = a + (n-1)d}$

Solving :

⇒ aₙ = -2 + (n - 1)(8)

⇒ aₙ = -2 + 8n - 8

⇒ aₙ = 8n - 10

⇒ aₙ = 2(4n - 5)

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2 years ago

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Answer:

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2 years ago

If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90

Eddi Din [679]

Answer:

$90^\circ$

Step-by-step explanation:

Given two non zero vectors, $\vec a, \vec b$ .

Let the angle between the two vectors = $\theta$

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$|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}$

Where $\theta$ is the angle between the two vectors.

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$|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}$

As per the given condition:

$\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}$

Squaring both sides:

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So, the angle between the two vectors is: $90^\circ$

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2 years ago

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