Quiz B: Find the 5th term and 7th term of each sequence defined by the given general term. Show the solutions.
1. an = 2n – 1
2. an = n – 5
3. an = n3 – 4
4. an = n2 + 3
5. an = n + 5
1. an = 2n – 1
2. an = n – 5
3. an = n3 – 4
4. an = n2 + 3
5. an = n + 5
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Answer:
1.an = 2n – 1
a5= 2 (5) – 1
a5= 9 [the 5th term is 9]
a7= 2(7) – 1
a7= 13 [ the 7th term is 13]
2. an = n – 5
a5= (5) -5
a5= 0 [the 5th term is 0]
a7= (7) - 5
a7= 2 [ the 7th term is 13]
3. an = n3 – 4
a5= (5)3 - 4
a5= 11 [the 5th term is 11]
a7= (7)3 - 4
a7= 17 [ the 7th term is 17]
4. an = n2 + 3
a5= (5)2 + 3
a5= 13 [the 5th term is 13]
a7= (7)2 + 3
a7= 17 [ the 7th term is 17]
5. an = n + 5
a5= (5) + 5
a5=10 [the 5th term is 10]
a7= (7) + 5
a7= 12 [ the 7th term is 12]