ElizabethK236012 ElizabethK236012
  • 25-10-2022
  • Mathematics
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Find a28 of the arithmetic sequence given a₁ = 1 and d = -9.A. 242B. 244OC.-242D.-244Reset Selection

Find a28 of the arithmetic sequence given a 1 and d 9A 242B 244OC242D244Reset Selection class=

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TaiyoT705867 TaiyoT705867
  • 25-10-2022

ANSWER

[tex]\begin{equation*} -242 \end{equation*}[/tex]

OPTION C

EXPLANATION

Given;

[tex]\begin{gathered} a=1 \\ d=-9 \end{gathered}[/tex]

Recall, the nth term of an arithmetic sequence is calculated using;

[tex]A_n=a+(n-1)d[/tex]

Substituting the values;

[tex]\begin{gathered} A_{n}=a+(n-1)d \\ =1+(28-1)-9 \\ =1+27\times-9 \\ =1+(-243) \\ =1-243 \\ =-242 \end{gathered}[/tex]

The 28th term is -242

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