The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
4, 11, 18,...
Find the 32nd term.

With this sequence, u can find the difference by subtracting the terms:

11-4=7
18-11=7

now u know that the sequence goes +7 each term.

u could choose to add 7 manually for 29 times (bc u alrdy have the first 3 terms so 32-3=29) or u could calculate it using the formula in the picture.

with the formula, plug in the terms:

let x be the 32nd term

x = 4 + (32-1)7
x = 4 + (31)5
x = 4 + 155
x = 159

159 is the 32nd term