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

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

Answer 2

The formula representing this is 3n-2