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Answer:
A) 5n - 6
B) 44
C) 9
Explanation:
This is an arithmetic sequence
Tn = a + (n-1)d
a = -1
d = 9 - 4 = 5
Sn = -1 + (n-1)5
= -1 + 5n - 5
= 5n - 6
10th term
= 5(10) - 6
= 50 - 6
= 44
39 = -1 + (n-1)5
39 = 5n - 6
5n = 39 + 6
5n = 45
n = 45/5
n = 9
so you basically keep adding by 5 in this formula
-1,4,9,14,19,24,29,34,39
Use the formula
an=a1+d(n−1) to identify the arithmetic sequence.an=5n−6
each number is a term the nth is 5