Answer: The term to term rule is an Arithmetic progression for the two question. B) 1Oth term for the first is 30 and for the second series is 59
Explanation:
4.1) 3 6 9 12 15
For the sequence above, we can see that the next term is gotten by addition of 3 with the previous term and so It is an Arithmetic progression.
Having in mind the nth term of an AP as Tn = a + (n - 1)d.
where a is the first term =3
And d common difference =3(6-3,9-6,12-9)
10th term=
T10 = 3+ (10 - 1)3.
T10 = 3+ (9)3.
T10 = 3+ 27.
T10 =30
4.2) 5 11 17 23 29
For the sequence above, we can see that the next term is gotten by addition of 6 with the previous term and so It is an Arithmetic progression.
Having in mind the nth term of an AP as Tn = a + (n - 1)d.
where a is the first term =5
And d common difference =6 (11-5, 17-11,23-17)
10th term=
T10 = 5+ (10 - 1)6.
T10 = 5+ (9)6.
T10 = 5+ 54.
T10 =59