Question

arithmetic, find the formula for t(n). for
1, 4, 7, 10, 13, ......

Explanation:

Step1: Identify first term & common difference

First term $a_1 = 1$, common difference $d = 4-1=3$

Step2: Use arithmetic sequence formula

The nth term formula is $a_n = a_1 + (n-1)d$
Substitute values: $a_n = 1 + (n-1) \times 3$

Step3: Simplify the expression

$a_n = 1 + 3n - 3 = 3n - 2$

Answer:

The formula for the nth term of the sequence is $a_n = 3n - 2$