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