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

Sagot :

Answer:

[tex]\boxed{a_{n} = 2(4n - 5)}[/tex]

Step-by-step explanation:

Given :

⇒ a = -2

⇒ d = 14 - 6 = 8

Formula for nth term :

[tex]\boxed {a_{n} = a + (n-1)d}[/tex]

Solving :

⇒ aₙ = -2 + (n - 1)(8)

⇒ aₙ = -2 + 8n - 8

⇒ aₙ = 8n - 10

⇒ aₙ = 2(4n - 5)

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