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sqdancefan

9514 1404 393

Answer:

  (a) 7, 11

  (b) yes, the 8th term

Step-by-step explanation:

(a) The value of n is the term number:

1st term: n = 1, so 4n+3 = 4·1 +3 = 7

2nd term: n = 2, so 4n+3 = 4·2 +3 = 11

3rd term: n = 3, so 4n+3 = 4·3 +3 = 15

The first two terms of the sequence are 7, 11.

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(b) If 35 is a term in the sequence, then there is some integer value of n such that 4n+3 = 35

  4n +3 = 35

  4n = 32 . . . . . .  subtract 3 from both sides

  n = 8 . . . . . . . . . divide both sides by 4

This value is an integer, indicating the 8th term of the sequence is 35.

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