SOLUTION: If the 6th term is 18 and the 8th term is 32 what is the 7th term?
Algebra.Com
Question 852712: If the 6th term is 18 and the 8th term is 32 what is the 7th term?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Which kind of series? A, G or H?
Arithmetic
an = a + (n - 1)d
18 = a + 5d
32 = a + 7d
a = -17, d = 7
a7 = -17 + 6*7
a7=42-17
a7=25
geometric
Tn = t * r^(n - 1)
18 = t * r^(5),
32 = t * r^(7)
r = -4/3, t = -2187/512
and
r = 4/3, t = 2187/512
T = 2187/512 * 4/3^(6)
t=24
RELATED QUESTIONS
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 8... (answered by Edwin McCravy)
The 5th term of an A.P is 9 and the 8th term is 27, find; the 6th term and the sum of the (answered by Edwin McCravy)
The 5th term of an arithmetic sequence is 10 an 7th term is 18. What is the 8th... (answered by reviewermath)
The 3rd term of an arithmetic sequence is 12 and its 7th term is 32, what is its 11th... (answered by Boreal)
Find the first term & common difference if:
10th term is 35;15th terms is 55
2nd term... (answered by ikleyn)
If the 4th term of the geometric progression is -32 and the 7th term is 108,what is the... (answered by sachi)
what is the 8th term of... (answered by Tatiana_Stebko)
In a geometric sequence where the 3rd term is 18 and the 8th term is 4,374, find the nth... (answered by ikleyn)
In an A p the sum of the 1st and 8th term is 164 and the sum of the next 6th term is 333. (answered by greenestamps)