9514 1404 393
Answer:
(a) 7, 11
(b) yes, the 8th term
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.