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QuestionFind the first three terms of the sequence given by an=−3n−4a_{n}=-3 n-4. Options are: -7,-10,-13; -1,2,5; -4,-1,2; -4,-7,-10.

Studdy Solution

STEP 1

Assumptions1. The sequence is represented by the formula an=−3n−4a_{n}=-3n-4 . We are asked to find the first three terms of the sequence

STEP 2

The general formula for the nth term of the sequence is given by an=−n−4a_{n}=-n-4. To find the first term of the sequence, we substitute n=1n=1 into the formula.
a1=−(1)−4a_{1}=-(1)-4

STEP 3

Calculate the first term of the sequence.
a1=−3(1)−=−7a_{1}=-3(1)-=-7

STEP 4

To find the second term of the sequence, we substitute n=2n=2 into the formula.
a2=−3(2)−4a_{2}=-3(2)-4

STEP 5

Calculate the second term of the sequence.
a2=−3(2)−4=−10a_{2}=-3(2)-4=-10

STEP 6

To find the third term of the sequence, we substitute n=3n=3 into the formula.
a3=−3(3)−4a_{3}=-3(3)-4

STEP 7

Calculate the third term of the sequence.
a3=−3(3)−4=−13a_{3}=-3(3)-4=-13So, the first three terms of the sequence are −7,−10,−13-7, -10, -13.

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