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A sequence can be generated by using the formula [tex]a_n = a_{n-1} + 10[/tex], where [tex]a_1 = 2[/tex] and [tex]n[/tex] is a whole number greater than 1.

What are the first 5 terms in the sequence?

A. 2, 12, 22, 32, 42
B. 10, 20, 30, 40, 50
C. 2, 20, 200, 2000, 20000
D. 10, 12, 14, 16, 18

Answer :

Final answer:

The first 5 terms in the sequence generated by the given formula are 2, 12, 22, 32, 42.


Explanation:

The sequence generated by the given formula is:




  1. a₁ = 2

  2. a₂ = a₁ + 10 = 2 + 10 = 12

  3. a₃ = a₂ + 10 = 12 + 10 = 22

  4. a₄ = a₃ + 10 = 22 + 10 = 32

  5. a₅ = a₄ + 10 = 32 + 10 = 42



Therefore, the first 5 terms in the sequence are: 2, 12, 22, 32, 42.


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