What Is The 101st Term Of The Sequence 1, 4, 7, 10...? - Testpoint

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

301
80
90
311

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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