Question

Asap pls help I need help

Answer 1

`a_(n)=2+3(n-1)`

Explanation:

Step 1. To find the equation that describes the pattern, we use the arithmetic sequence formula:

`a_(n)=a_(1)+d(n-1)`

Where a_n is the n'th terms and d is the common ratio between the numbers.

Step 2. The sequence we have is:

2 5 8 11

The first term is:

`a_(1)=2`

And the common ratio or the difference between consecutive numbers is:

3 2+3=8 5+3=8 8+3=11

This will be the value of d:

d=3

Step 3. Substituting a_1 and d into the formula:

`a_(n) =a_(1)+d(n-1)\\a_(n)=2+3(n-1)`

This is the equation that represents the number pattern, it represents that we add three each time to the previous number in the sequence.

Hence, the correct answer is
`a_(n)=2+3(n-1)`