What are the next two terms in the sequence? 2, 14, 26, 38, ...

Mathematics

2 answers:

poizon [28]3 years ago

7 0

Answer:

Step-by-step explanation:

$a(1)=2\\\\a(2)=a(1)+12=2+12=14\\\\a(3)=a(2)+12=14+12=26\\\\a(4)=a(3)+12=26+12=38\\\\a(5)=a(4)+12=38+12=50\\\\a(5)=a(5)+12=50+12=62$

If you want the formula.

It's an arithmetic sequence with the first term 2 and common difference 12.

The explicit formula of an arithmetic sequence:

$a(n)=a(1)+(n-1)d$

d - common difference

Substitute:

$a(n)=2+(n-1)(12)$ use the distributive property

$a(n)=2+12n-12$

$a(n)=12n-10$

ki77a [65]3 years ago

5 0

Answer:

50, 62

The drawing will help

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