What is the sum of the geometric sequence 1/4 16 If there are 8 terms?

21845S₈ = 21845.

What is the sum of 8 terms of the geometric sequence?

the sum of the first 8 terms of a geometric sequence is 6560.

What is the next term in the geometric sequence of 4/8 16?

2 Answers By Expert Tutors



8 ÷ -4 = -2. Thus, in order to determine each successive term, we’ll be multiplying the last term by -2. -16 • -2 = 32, and 32 • -2 = -64. These are the next two terms in the sequence.

What type of sequence is 1/4 16?

geometric sequence

This is a geometric sequence since there is a common ratio between each term.

What is the sum of the geometric sequence of 8 16 32?

The sum of the geometric sequence is 56.

What is the sum of the infinite geometric sequence 8 4 2?

The sum of this infinite geometric series is 16.

What is the sum of the Series 3 12?

Answer: The sum of the geometric progression 3, 12, 48, … if there are 8 terms is 65536.

What is the sum of the first 5 terms of the geometric sequence 3/12 48?

Hence, the sum of series is 65535 .

Do all geometric series have a sum?

We can find the sum of all finite geometric series. But in the case of an infinite geometric series when the common ratio is greater than one, the terms in the sequence will get larger and larger and if you add the larger numbers, you won’t get a final answer. The only possible answer would be infinity.

How do you find the sum of the first 50 terms of a geometric sequence?

Video quote: This is a 1 times 1 minus R to the N. Over 1 minus R. So we have to keep in mind that we are only able to use this formula. If we are dealing with a geometric sequence.

How do you find the sum of a geometric series?

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

How do you find the sum of first n terms of a geometric series?

The formula to find the sum of the first n terms of a geometric sequence is a times 1 minus r to the nth power over 1 minus r where n is the number of terms we want to find the sum for, a our beginning term of our sequence, and r our common ratio.

What is the sum of the terms of a geometric sequence?

The terms between given terms of a geometric sequence. The sum of the terms of a geometric sequence. The sum of the first n terms of a geometric sequence, given by the formula: Sn=a1(1−rn)1−r, r≠1. An infinite geometric series where |r|<1 whose sum is given by the formula: S∞=a11−r.

What is the geometric mean between 16 and 9?

hence the geometric mean of 9 and 16 is 12.

What is the geometric mean between 4 and 25?

10

The geometric mean between 4 and 25 is 10.

What is the geometric mean of 4 and 9?

What is the geometric mean of 4 and 9? The geometric mean of 4 and 9 is 6.

What is the geometric mean of 4 and 8?

Answer. Geometric mean of 4 and 8 is 4√2.

What is the geometric mean of 4 and 16?

8

Now the product of 4 and 16 is 64. The geometric mean is given by the root of the product of the two numbers. So the geometric mean of 4 and 16 will be the root of 64. Thus 8 is the geometric mean of 4 and 16.

How do you calculate geometric mean?

Geometric mean takes several values and multiplies them together and sets them to the 1/nth power. For example, the geometric mean calculation can be easily understood with simple numbers, such as 2 and 8. If you multiply 2 and 8, then take the square root (the ½ power since there are only 2 numbers), the answer is 4.