0
The first and fourth terms of a geometric progression are 54 and 2 respectively Find the sum to infinity of the geometric progression?
Wiki User
∙ 9y ago
t(1) = a = 54
t(4) = a*r^3 = 2
t(4)/t(1) = r^3 = 2/54 = 1/27 and so r = 1/3
Then sum to infinity = a/(1 - r) = 54/(1 - 1/3) = 54/(2/3) = 81.
Wiki User
∙ 9y ago
Add your answer:
Earn +20 pts
What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54 respectively?
It could be -3 or +3.
What is the fourth triangular number?
The Fourth Triangular Number is 10.
How many degrees is one fourth of a circle?
One fourth of a circle is 90 degrees.
What point on the graph could be the fourth vertex of the parallelogram?
the origin is the point in the graph that can be fourth vertex
What is one fourth of a 90 degree angle?
One fourth of 90o = 90/4 = 22.5o
What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54 respectively?
It could be -3 or +3.
What are the 2 geometric means between 2 and 1 fourth?
1 and 1/2.
What is the value of the fourth term in a geometric sequence for which a1 10 and r .5?
1.25 Apex
Are 8 and one-fourth 6 and two-fourth 2 and three-fourth similar fractions?
Well they all have quarters in them... But really they represent the decimals 8.25, 6.5 and 2.75 respectively.
The fourth term of a geometric sequence is -64 the product of the first and third term is 16?
the series can be 1,-4,16,-64
How do you find a geometric mean?
If there are only k numbers x(1),x(2)....,x(k), the geometric mean is the kth root of the product of these k numbers. Example: find the geometric mean of 4,3,7,8 We want the fourth root of 4 x 3 x 7 x 8 = 672 =(672)^(1/4) = 5.09146 is the geometric mean. The geometric mean is normally defined only for a set of positive numbers.
What do you do to get the geometric mean?
You multiply each of the numbers together and then take the nth principal root, where n is the number of values multiplied together. So Geometric Mean (2, 3, 4, 5) = fourth root of (2*3*4*5) = 120 = 3.31 (approx).
What is the fourth term of a geometric sequence when the first term is 7 and the common ration is 1.1?
7, 7.7, 8.47, 9.317 Ie 7 x 1.1^3
How many elcetrons fill the fourth level?
2+6+10+14 = 32 in the fourth level with s,p,d,f sub-levels (2, 6, 10, 14 electrons in each respectively)
Who was the fourth oldest man in the Bible?
According to the genealogical records in Genesis 5 and 9 the fourth oldest man would be Adam at 930 years. (Genesis 5:5) This is after Methusaleh at 969, Jared at 962 and Noah at 950 respectively..
How much money is 1 half of a dollar 1 fourth of a dollar and 1 tenth of a dollar?
50 cents, 25 cents, and 10 cents respectively.
What are the worlds largest countries?
The largest country in the world is Russia by far. Canada and the United States are rank second and third respectively. China is a respectable fourth place.
