Which of the following number sequences could be produced by the expression 2x+x2? A. 3, 8, 15, 24 B. 1, 3, 5, 7 C. 1, - 1, - 3, - 5 D. 2, 7, 14, 21

Question

Aubrey Davies

Mathematics

31 July, 18:20

Which of the following number sequences could be produced by the expression 2x+x2? A. 3, 8, 15, 24 B. 1, 3, 5, 7 C. 1, - 1, - 3, - 5 D. 2, 7, 14, 21

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Answers (1)

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Cinnamon · Answer 1

A) 3, 8, 15, 24 is correct.

Letting x be the term number (position in the sequence), for the first term, we have:

2 (1) + 1^2 = 2+1 = 3

For the second term:

2 (2) + 2^2 = 4+4 = 8

Third term:

2 (3) + 3^2 = 6+9 = 15

Fourth term:

2 (4) + 4^2 = 8+16 = 24