18, 26, 34, 42, find the 52nd term and the explicit formula

We have 26 - 18 = 8; 34 - 26 = 8; 42 - 34 = 8; (an arithmetic progression)

We use the formula an = a1 + (n-1) x8 (the explicit formula)

So, an = 18 + (n-1) x8;

Then, an = 8n + 10;

Finally, a52 = 8x52 + 10 = 426 (the 52nd term);