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How do you find the nth term for this pattern- 10 20 40 80 160?
The first term is 10. Dividing (say) the 3rd term by the 2nd term gives 40/20 = 2 Dividing any two successive terms in this manner results in the same answer. Then 2 is the common ratio. The general formula for the nth term of a Geometric Progression or Series is :- a(n) = ar^n-1.....where a is the first term and r is the common ratio. For the pattern provided, a(n) = 10 x 2^n-1
What is the product of the numerator of one ratio and the denominator of the other ratio called in a proportion?
The numerator of the second ratio and the denominator of the first ratio are called the means, and the numerator of the first ratio and the denominator of the second ratio are called the extremes. The product of the means equals the product of the extremes.
Express ratio in lowest term 7 21?
As 21 is 3 x 7 the ratio 7:21 = 1:3
What is the ratio of 105 to 150?
Expressed as a ratio in its simplest terms, 105:150 is equal to 7:10, or seven to ten.
There are two rectangles what are the ratio of the first to the second?
I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.
What is a ratio whose second term is 100?
A ratio is a comparison of two quantities. When the second term of a ratio is 100, it means that the ratio is comparing the first term to 100. For example, if the ratio is 1:100, it means the first term is 1 and the second term is 100. Ratios with a second term of 100 are often used to express proportions or percentages.
What is the fifth term of the geometric sequence?
It is a*r^4 where a is the first term and r is the common ratio (the ratio between a term and the one before it).
Math Does it matter what term comes first in a ratio why?
no
What is the third term of a sequence that has a first term of 3 and a common ratio of 3?
27
Which sequence is a geometric sequence having 4 as its first term and 3 as the common ratio?
You start with the number 4, then multiply with the "common ratio" to get the next term. That, in turn, is multiplied by the common ratio to get the next term, etc.
What is the sixth term of a geometric sequence when the first term is 7 and the common ratio is 1.1?
11.27357
What is the 12th term in a geometric sequence that has a first term of 6 and a common ratio of 3?
It is 1062882.
What is the sixth term of a geometric sequence when the first term is 1 and the common ratio is -4?
-1,024
How do you find the ratio in the geometric progression?
Divide any term, except the first, by the term before it.
What is the 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?
36
What is the 7th term in the geometric sequence whose first term is 5 and the common ratio is -2?
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
What is the third term of a sequence that has a first term of 3 and a cammon ratio of 3?
The use of the expression 'common ratio' means that the sequence is a Geometric series where the terms are of the form a, ar ar2, ar3, ...arn-1 where a is the first term and r is the common ratio. The third term, a3 = 3 x 32 = 3 x 9 = 27
