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Mathematics

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Find the 30th term of the following sequence. 2,8,14,20

Answer :

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Answer:

[tex]\large\boxed{a_{30}=176}[/tex]

Step-by-step explanation:

[tex]a_1=2\\a_2=2+6=8\\a_3=8+6=14\\a_4=14+6=20\\\vdots\\\text{It's the arithmetic sequence with common difference d = 6}.\\\\\text{The formula of a n-th term:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=2+(n-1)(6)=2+(n)(6)+(-1)(6)=2+6n-6=6n-4\\\\\text{Calculate 30-th term. Substitute}\ n=30:\\\\a_{30}=6(30)-4=180-4=176[/tex]

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