What is the 101st term of the sequence 1, 4, 7, 10...?

Explanation

This is an arithmetic sequence with:

• First term $a=1$

• Common difference $d=4-1=3$

General formula for the
$n$th term of an arithmetic sequence:

$$T_n = a + (n - 1)d$$

We need the 101st term:

$$$$
T_{101} = 1 + (101 - 1) times 3 = 1 + 100 times 3 = 1 + 300 = boxed{301}

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