What is the 10th term of the geometric sequence whose first term is 2 whose common ratio is 3?

a10=8(2/3)^(10-1), the answer should be . 208 (rounded to the 3 decimal places).

What is the common ratio of the geometric sequence 9 3 1?

1/3
The sequence 1,2,4,8,16,… is a geometric sequence with common ratio 2, since each term is obtained from the preceding one by doubling. The sequence 9,3,1,1/3,… is a geometric sequence with common ratio 1/3.

What is the 9th term of the arithmetic sequence?

To determine the ninth term of an arithmetic sequence, we will use the general formula for the nth of an arithmetic sequence [a,(a+d),(a+2d),⋯⋯] [ a , ( a + d ) , ( a + 2 d ) , ⋯ ⋯ ] .

What is the geometric mean between 4 and 9?

6
The geometric mean between 4 and 9 is 6.

How do you find the three terms of a geometric sequence?

Step 1 Find the value of r by dividing each term by the one before it. The value of r is –2. Step 2 Multiply each term by –2 to find the next three terms. ×(–2) ×(–2) ×(–2) The next three terms are 80, –160, and 320.

How do you find the 9th term in a geometric sequence?

Find the 9th Term 2 , 8 , 32 , 128 , 512 , 2048 , 8192 , 32768 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 4 gives the next term.

How do you find the common ratio of a geometric sequence?

Find the common ratio of a Geometric Sequences. The common ratio, r, is found by dividing any term after the first term by the term that directly precedes it. In the following examples, the common ratio is found by dividing the second term by the first term, a 2/a 1 .

Which is a geometric sequence with R =5?

2, 10, 50, 250, is a geometric sequence as each term can be obtained by multiplying the previous term by 5. Notice that 10÷2=50÷10=250÷50=5, so each term divided by the previous one gives the same constant. for all positive integers n where r is a constant called the common ratio. ● 2, 10, 50, 250, … is geometric with r =5.

What is the difference between geometric sequence and geometric progression?

In a geometric sequence, the common ratio, r, between any two consecutive terms is always the same. If three terms, un, u(n+1), u(n+2)are in geometric sequence, then: A geometric progression is a list of terms as in an arithmetic progression but in this case the ratio of successive terms is a constant.