Study guides

☆☆

Q: Is the sum of two geometric sequence a geometric sequence?

Write your answer...

Submit

Related questions

The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.

No, but it can be expressed as the sum of two geometric sequences. F_n = a^n + b^n a = (1+sqrt{5})/2 b = (1-sqrt{5})/2

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)

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

It is 4374

a sequence of shifted geometric numbers

It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.

The sum of a geometric sequence is a(1-rn)/(1-r) In this case, a = 8, r = -2 and n=15 So the sum is 8(1-(-2)15)/(1+2) =8(1+32768)/3 =87,384 So the sum of the first 15 terms of the sequence 8, -16, 32, -64.... is 87,384.

Un = 4*3n-1 S9 = 39364

The two are totally unrelated.

antonette taño invented geometric sequence since 1990's

Not sure about this question. But, a geometric sequence is a sequence of numbers such that the ratio of any two consecutive numbers is a constant, known as the "common ratio". A geometric sequence consists of a set of numbers of the form a, ar, ar2, ar3, ... arn, ... where r is the common ratio.

A geometric sequence is : a•r^n while a quadratic sequence is a• n^2 + b•n + c So the answer is no, unless we are talking about an infinite sequence of zeros which strictly speaking is both a geometric and a quadratic sequence.

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

The geometric sequence with three terms with a sum of nine and the sum to infinity of 8 is -9,-18, and 36. The first term is -9 and the common ratio is -2.

No.

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

That's the famous Fibonacci sequence, where every term is the sum of the previous two.

It is called arithmetico-geometric sequence. I have added a link with some nice information about them.

There are different answers depending upon whether the sequence is an arithmetic progression, a geometric progression, or some other sequence. For example, the sequence 4/1 - 4/3 + 4/5 - 4/7 adds to pi

Start with 1 and 2. Then each number in the Fibonacci sequence is the sum of the previous two numbers in the sequence.

A geometric series.

Sequences are a group of numbers that follow a certain pattern. There are two kinds of sequences, the arithematic sequence and geometric sequence. Arithematic sequence follows through addition (and subtraction). Geometric sequence follows throug multiplication (and division). Arithematic Sequence Example : 1, 6, 11, 16, 21 The pattern follows an addition of 5. Geometric Sequence Example : 1, 3, 9, 27, 81 The pattern follows a multiplication of 3

A geometric sequence is : a•r^n which is ascending if a is greater than 0 and r is greater than 1.