Geometric progression

posted by .

The second term of a geometric progression is 12 more than the first term given that the common the ratio is half of the first term. Find the third term of the Geometric progression

• Geometric progression -

Solution.Tn=ar'n-1 where n=3

• Geometric progression -

ar = 12 + a (i)
ar^2 = x (ii)
subtract equ (i) from equ (ii)
a = 6
substituting a = 6 into equ (i)
ar = 12 + a
6r = 12 + 6=18
r = 3.
ar'2 = 6 * 3'2
ar'2 = 54

• Algebra -

65

• Geometric progression -

ar'2=54

Similar Questions

1. math

1) If the number 1,1/3,1/9, are terms of Geometric progression. Find its common ratio 2) If the second term of Geometric progression is equal to 3, and the 5th term is equal to 81/8. Find the 7th term. 3)If x,y,3 is a Geometric progression. …
2. GP Caluculus

The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression
3. GP Caluculus

The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression
4. GP Caluculus

The third term of a geometric progression is 16. The sum of the third term and the fourth term is 8.Find (a)the first term and the common ratio of the progression. (b)the sum of infinity of the progression.
5. Maths

1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is …
6. Math Algebra

The first term of a geometric progression is more than the third term by 12. The fourth term is more than the second term by 4. Find: i.the first term a and the common ratio r. ii. the n'th term of the progression.
7. MATHEMATIC DEPARTMENT

The second, third and ninth terms of an arithmetic progression forms the first, second and third terms of a geometric progression. Find the common ratio and hence the eleventh term of geometric progression.
8. uniuyo

The second and fifth term of a geometric progression are 21 and 567 respectively. Find the first term and the common ratio of the progression
9. math C2 sequences and series

The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and …
10. Math

The third term of a geometric progression of positive terms is 18 and the fifth term is 162 Find the common ration and the first term?

More Similar Questions