an = 5n - 1
a4 = 5(4) - 1
a4 = 20 - 1
a4 = 19
an = 6n - 2
a12 = 6(12) - 2
a12 = 72 - 2
a12 = 70
an = 4n - 2
50 = 4n - 2
48 = 4n
12 = n
an = 2n² - 3
285 = 2n² - 3
288 = 2n²
144 = n²
n = ±12
8 - 4 = 4
13 - 8 = 5
The succeeding term is obtained by adding the previous term's difference + 1...
13 + (5 + 1) = 19
19 + (6 + 1) = 26
26 + (7 + 1) = 34
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Answers & Comments
Verified answer
1) an = 5n - 1, a4 = ?
an = 5n - 1
a4 = 5(4) - 1
a4 = 20 - 1
a4 = 19
Answer: D. 19
2) an = 6n - 2, a12 = ?
an = 6n - 2
a12 = 6(12) - 2
a12 = 72 - 2
a12 = 70
Answer: D. 70
3) an = 4n - 2, an = 50, n = ?
an = 4n - 2
50 = 4n - 2
48 = 4n
12 = n
Answer: A. 12
4) an = 2n² - 3, an = 285, n = ?
an = 2n² - 3
285 = 2n² - 3
288 = 2n²
144 = n²
n = ±12
Answer: A. 12
5) 4, 8, 13, _, _, _,...
8 - 4 = 4
13 - 8 = 5
The succeeding term is obtained by adding the previous term's difference + 1...
13 + (5 + 1) = 19
19 + (6 + 1) = 26
26 + (7 + 1) = 34
Answer: B. 19, 26, 34
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