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The first term in a sequence is 4. Each of the next terms in the sequence is 3 more than 2 times the term before. What are the third and fourth terms in the sequence?

Respuesta :

Answer:

25 and 53

Step-by-step explanation:

We can express the term in the sequence by the recursive formula

[tex]a_{n}[/tex] = 2[tex]a_{n-1}[/tex] + 3 with a₁ = 4 , thus

a₂ = 2a₁ + 3 = 2(4) + 3 = 8 + 3 = 11

a₃ = 2a₂ + 3 = 2(11) + 3 = 22 + 3 = 25

a₄ = 2a₃ + 3 = 2(25) + 3 = 50 + 3 = 53

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