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

21845
The sum of the geometric sequence 1, 4, 16, … if there are 8 terms is S8 = 21845.

What type of sequence is 4/16 64?

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words, an=a1⋅rn−1 a n = a 1 ⋅ r n – 1 . This is the form of a geometric sequence.

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.

How do I find the sum of a geometric sequence?

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 many terms of the GP 1/4 16 64 must be added to get the sum equal to 5461?

so , 7 terms of his series will make the sum of 5461.

What is the seventh term of the geometric sequence where a1 1024 and a4 =- 16?

1/4
Summary: Given a1 = 1,024 and a4 = -16 the value of the 7th term of the geometric series is 1/4.

What is the common ratio of the geometric sequence 4/16 64?

1 Expert Answer So the common ratio is 4.

What are the next two terms in the sequence 4/16 64?

The sequence for 1,4,16,64 is 1*4 =4 , 4*4=16, 16*4= 64, 64*4 = 256. You can find answer applying this method.

What is a formula for the nth term of the given sequence 16?

First term (a)=16. and, Common Ratio (r)=−816=−12. Now from the formula of the nth term- an=arn−1=16(−12)n−1=16((−1)n−12n−1)=16(2(−1)n−12n)=32(−1)n−12n.

How many terms are there in the GP 4 8 16 32?

4,8,16,32,64,128,256,512,1024.

What is the geometric mean of 4 and 64?

16
Detailed Solution. ∴ Geometric Mean between 4 and 64 is 16.

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

The sum of the geometric sequence is 56.