Question

Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by adding 3 to the one before it. Find the formula representing an, the nth term of the sequence.

Answer 1

The formula representing this is 3n-2

Answer 2

We are given

first term is 1

so,
`a_1=1`

each succeeding term is found by adding 3 to the one before it

so, common difference is

`d=3`

Since, this is arithematic sequence

so, we can use nth terms formula

`a_n=a_1+(n-1)d`

now, we can plug values

and we get

`a_n=1+(n-1)*3`

`a_n=1+3n-3`

`a_n=3n-2`................Answer