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Answered

which term of the arithmetic sequence 7,10,13,16 is304​

Sagot :

RobbieRavenclawgo

Answer:

304 is the 100th term of the arithmetic sequence.

Step-by-step explanation:

Given:   [tex]a_1=7[/tex],   [tex]a_n=304[/tex],   [tex]d=3[/tex]

Find:   [tex]n=?[/tex]

Formula:   [tex]a_n=a_1+(n-1)d[/tex]

Solution:

[tex]a_n=a_1+(n-1)d\\304=7+(n-1)3\\304=7+3n-3\\3n=304-7+3\\3n=300\\\frac{3n}{3}=\frac{300}{3}\\\boxed{n=100}[/tex]

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