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No, they do not. If the first term is negative, they always decrease.

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โˆ™ 2017-06-28 17:04:23
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Q: In a geometric sequence where r and gt 1 the terms always increase.?
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DO the terms in a geometric sequence always increase?

FALSE (Apex)

Do the terms of a geometric sequence increase as it proceeds?


Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?

Yes, that's what a geometric sequence is about.

Descending geometric sequence?

A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.

In a geometric sequence the between consecutive terms is constant.?


In what sequence are all of the terms the same?

A static sequence: for example a geometric sequence with common ratio = 1.

find the next two terms in geometric sequence 2,6,18,54,162,486,1458?

It is 4374

What is the geometric sequencing formula?

I expect that you mean the formula for calculating the terms in a geometric sequence. Please see the link.

What does geometric sequence?

You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.

What is the answer if you insert 3 terms between 2 and 32 by geometric sequence?

The terms are: 4, 8 and 16

What is the first 5 terms of the geometric sequence a14r3?

They are 14, 42, 126, 378 and 1134.

In a geometric sequence the ratio between consecutive terms is .?

It is a constant, other than 0 or 1.

Is the Fibonacci sequence a geometric sequence?

No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...

First four terms of a geometric sequence?

a, ar, ar^2 and ar^3 where a and r are constants.

What is the common ratio between the terms in this geometric sequence 5 20 80 320 1280?

1 to 4

What is the sum of the geometric sequence 4 12 36 if there are 9 terms?

Un = 4*3n-1 S9 = 39364

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.

In an arithmetic sequence the constant rate of increase or decreas between successive terms is called the?

An arithmetic sequence does not have a constant rate of increase or decrease between successive terms, so it cannot be called anything!The constant increase or decrease is called the common difference.

What is the geometric mean of 15 and 60 is?

What is the sum of the first 27 terms of the geometric sequence -3, 3, - 3, 3, . . . ?

How do you determine if a sequence is arithmetic?

The sequence is arithmetic if the difference between every two consecutive terms is always the same.

What are some geometric terms that begin with letter R?

Right angle and rectangle are geometric terms.

What is the difference between an arithmetic series and a geometric series?

An arithmetic series is the sequence of partial sums of an arithmetic sequence. That is, if A = {a, a+d, a+2d, ..., a+(n-1)d, ... } then the terms of the arithmetic series, S(n), are the sums of the first n terms and S(n) = n/2*[2a + (n-1)d]. Arithmetic series can never converge.A geometric series is the sequence of partial sums of a geometric sequence. That is, if G = {a, ar, ar^2, ..., ar^(n-1), ... } then the terms of the geometric series, T(n), are the sums of the first n terms and T(n) = a*(1 - r^n)/(1 - r). If |r| < 1 then T(n) tends to 1/(1 - r) as n tends to infinity.

What is the formula for a geometric sequence?

a+a*r+a*r^2+...+a*r^n a = first number r = ratio n = "number of terms"-1

What is the formula to find the sum of a geometric sequence?

The formula to find the sum of a geometric sequence is adding a + ar + ar2 + ar3 + ar4. The sum, to n terms, is given byS(n) = a*(1 - r^n)/(1 - r) or, equivalently, a*(r^n - 1)/(r - 1)

What is geometric terms?

Geometric Sequences work like this. You start out with some variable x. Your multiplication distance between terms is r. Your second term would come out to x*r, your third x*r*r, and so on. If there are n terms in the sequence, your final term will be x*r^(n-1).