JohnsonV201978 JohnsonV201978
  • 29-10-2022
  • Mathematics
contestada

write an equation for the following sequence:-3, 1, 5, 9, 13, ......use: an=d(n-1)+a1

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KrisetteL349534 KrisetteL349534
  • 29-10-2022

Answer:

[tex]a_n=-3+4(n-1)[/tex]

Step-by-step explanation:

This sequence can be interpreted as an arithmetic sequence, which has a general equation in the following format:

[tex]a_n=a_1+d(n-1)[/tex]

In which a1 is the first term and d is the common ratio(the difference between the consecutive terms.

In this sequence:

The first term is -3.

The common ratio is ... = 9 - 5 = 5 - 1 = ... = 4

So the equation for the sequence is:

[tex]a_n=-3+4(n-1)[/tex]

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