SunsetPrincess
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Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...
A.) 35n + 1; 3,501
B.) n + 34; 134
C.) 34n + 1; 3,401
D.) 35n; 3,500

Respuesta :

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

[tex]n_{th} = a+ (n-1)d[/tex]

[tex]n_{th}= 35+(n-1)(1)[/tex]

[tex]n_{th} = 34+n[/tex]

To find the 100th term, substitute n = 100

[tex]n_{100} = 34 +100[/tex]

[tex]n_{100} =134[/tex]

Correct option is B

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