Share
the 10th term of the arithmetic 5x + 6, 11x + 2, 17x – 2,
Question
the 10th term of the arithmetic 5x + 6, 11x + 2, 17x – 2,
in progress
0
Mathematics
3 years
2021-07-25T12:22:29+00:00
2021-07-25T12:22:29+00:00 1 Answers
13 views
0
Answers ( )
Answer:
t10 = 59x – 30
Step-by-step explanation:
a = 5x + 6
d = 11x + 2 – 5x – 6
d = 6x – 4
n = 10
tn = a + (n – 1)*d
t10 = 5x + 6 + (10 – 1) ( 6x – 4)
t10 = 5x + 6 + 9(6x – 4)
t10 = 5x + 6 + 54x – 36
t10 = 59x – 30
Check by finding the 3rd term
d = 6x – 4
n = 3
a = 5x + 6
t3 = 5x + 6 + (3-1)*(6x – 4)
t3 = 5x + 6 + 2(6x – 4)
t3 = 5x + 6 + 12x – 8
t3 = 17x – 2 which is exactly what it should be.