Question

Which pattern of numbers can be produced by the formula an=3n-4

Answer 1

Question is asking about the pattern of numbers can be produced by the formula

`a_n=3n-4`

So we will just plug numbers n=1,2,3,4,... ot find the required terms of the pattern

For n=1

`a_n=3n-4`

`a_1=3*1-4=3-4=-1`

For n=2

`a_n=3n-4`

`a_2=3*2-4=6-4=2`

For n=3

`a_n=3n-4`

`a_3=3*3-4=9-4=5`

For n=4

`a_n=3n-4`

`a_4=3*4-4=12-4=8`

Using same method we can find more numbers.

Hence required pattern is -1, 2, 5, 8, ...