Determine the 40th term in the sequence defined by an = − 12 + 4(n − 2).

Answer 1

To find the 40th term in a sequence, we substitute n = 40 into the formula for the nth term.

The 40th term is given by:
a40 = -12 + 4(40 - 2)

Simplifying the expression inside the parentheses first:
40 - 2 = 38

Substituting this value into the expression for the nth term:
a40 = -12 + 4(38)

Next, multiply 4 by 38:
4(38) = 152

Finally, add -12 and 152:
-12 + 152 = 140

Therefore, the 40th term in the sequence is 140.