What is the fifth term?

The fifth term is just the next term. One possible answer can be obtained by looking at the differences in the first four terms: 2 (=3–1), 4 (=7–3) and 8 (=15–7). They are 2^1, 2^2 and 2^3. I would say the fifth term is 15+2^4 = 15 + 16 = 31.

What is the formula for 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 .

What is the correct formula for geometric sequence?

A geometric sequence is a sequence in which the ratio of any term to the previous term is constant. The explicit formula for a geometric sequence is of the form an = a1r-1, where r is the common ratio.

What is the fifth term of a geometric sequence?

The fifth term of a geometric sequence is 48 and the ninth term is 768. What is the first term? The first term is 3. The general form of a geometric sequence with the first term a is a,ar,ar2,ar3,… where r is the common ratio between terms. Note that the general form for the n th term is arn−1.

How do you find the general form of a geometric sequence?

The general form of a geometric sequence with the first term a is a,ar,ar2,ar3,… where r is the common ratio between terms. Note that the general form for the n th term is arn−1. We could solve for r by taking the fourth root of 16, but that is not necessary for our goal of finding a.

How do you find the 7th term of a sequence?

The 7th term is 5 terms away from the 2nd term. The 6th term is 2 terms away from the 4th term. The 8th term is 3 terms away from the 5th term. Consider the sequence of numbers 4, 12, 36, 108, … .

How do you find the next term in a geometric series?

Consider the geometric series 3, 6, 12, 24, … Each term, after the first, is found by multiplying the previous term by 2. Consider the geometric series 27, 9, 3, 1, … Each term, after the first, is found by multiplying the previous term by ⅓. Note: Multiplying by 3; is the same as dividing by 3.