The nth term of a sequence is given by the formulaTn = 34 - 8n. The first negative term of the sequence is -8 -2 -4 -6
Question
The nth term of a sequence is given by the formulaTn = 34 - 8n. The first negative term of the sequence is -8 -2 -4 -6
Solution
The nth term of a sequence is given by the formula Tn = 34 - 8n. To find the first negative term of the sequence, we need to find the smallest value of n for which Tn < 0.
Step 1: Set up the inequality 34 - 8n < 0
Step 2: Solve for n Subtract 34 from both sides to get -8n < -34 Then divide both sides by -8 to get n > 34/8 = 4.25
Since n must be an integer (as it represents the term number in the sequence), the smallest integer greater than 4.25 is 5.
So, the first negative term of the sequence is the 5th term.
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