fla294kky
fla294kky fla294kky
  • 09-05-2021
  • Mathematics
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The first term of a linear sequence is 3 and the 8th term is 31. find the common difference​

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ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 09-05-2021

Answer:

The common difference is 4.

Step-by-step explanation:

[tex]a_n=a_1+(n-1)d[/tex]  You get to term number n by starting with term number 1 and adding the common difference  d  n-1 times.

[tex]a_1=3\text{, and }a_8=31[/tex]

[tex]a_8=a_1+(8-1)d\\\\31=3+7d\\\\28=7d\\\\d=4[/tex]

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