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Number 12: Write an equation to find the nth term then find a24

Number 12 Write An Equation To Find The Nth Term Then Find A24 class=

Sagot :

-1, -4, -7, -10....

The nth term of an arithmetic sequence is given by the formula:

[tex]a_n=a_1+(n-1)\cdot r[/tex]

We can check that the first term, a1, is -1 and the rate of change, r is -3, therefore, we have:

[tex]\begin{gathered} a_n=-1+(n-1)\cdot(-3) \\ a_n=-3n+2 \\ a_{24}=-3\cdot24+2=-70 \end{gathered}[/tex]

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