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Find the first 5 terms of the sequence: a, -2° - 5.

A) -3, -1, 1, 3, 5
B) 7, 9, 13, 21, 37
C) -3, -1, 3, 11, 27
D) -4, -1, 4, 11, 20

1 Answer

4 votes

Final Answer:

The first 5 terms of the sequence are: -2, -5, -8, -11, -14. Option D is answer.

Step-by-step explanation:

The given sequence is an arithmetic sequence with a common difference of -3.

Here's the breakdown of how the first 5 terms are generated:

Term Value Calculation

1 -2 Initial term

2 -5 -2 - 3

3 -8 -5 - 3

4 -11 -8 - 3

5 -14 -11 - 3

The sequence is an arithmetic progression with a common difference of -3, producing the terms -2, -5, -8, -11, and -14. This pattern aligns with the arithmetic sequence formula, and the answer is confirmed as Option D.

Option D is answer.

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Complete Question

Find the first 5 terms of the sequence: - 2, - 5, -8, ----, ---- .

A) - 2, - 5, -8 , -11, 14

B) - 2, - 5, -8 , 11, -14

C) -2, - 5, -8 , 11, 14

D) - 2, - 5, -8 , -11, -14

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