Study guides

☆☆

Q: Find the 10th term of the geometric sequence 10,-20,40…?

Write your answer...

Submit

Related questions

It is 4374

-15,19, -27/5, -81/25, ...

Type yourWhich choice is the explicit formula for the following geometric sequence? answer here...

Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5

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)

Just divide any number in the sequence by the next number in the sequence. To be on the safe side, you may want to check in more than one place - if you get the same result in each case, then it is, indeed, a geometric sequence.

tn = t1+(n-1)d -- for arithmetic tn = t1rn-1 -- for geometric

nth term Tn = arn-1 a = first term r = common factor

Divide any term in the sequence by the previous term. That is the common ratio of a geometric series. If the series is defined in the form of a recurrence relationship, it is even simpler. For a geometric series with common ratio r, the recurrence relation is Un+1 = r*Un for n = 1, 2, 3, ...

by the general formula ,a+(n-1)*d * * * * * That assumes that it is an arithmetic sequence. The sequence cound by geometric ( t(n) = a*rn ) or power ( t(n) = n2 ) or something else.

This is a geometric sequence. Each number is multiplied by the same constant, to get the next number. If you divide any number by the previous one, you can find out what this constant is.

The 99th term would be a times r to the 98th power ,where a is the first term and r is the common ratio of the terms.

The ratio can be found by dividing any (except the first) number by the one before it.

The geometric mean is 45.0

The geometric mean of 17 and 36 is approx 24.74

It is sqrt(8) = 2.8284, approx.

Geometric mean of 175 and 7 is 35. Look at link: "Calculation of the geometric mean of two numbers".

The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".

Find the use in the following link: "Calculation of the geometric mean of two numbers".

Succession of numbers of which one number is designated as the first, other as the second, another as the third and so on gives rise to what is called a sequence. Sequences have wide applications. In this lesson we shall discuss particular types of sequences called arithmetic sequence, geometric sequence and also find arithmetic mean (A.M), geometric mean (G.M) between two given numbers. We will also establish the relation between A.M and G.M

Formula for the nth term of general geometric sequence tn = t1 x r(n - 1) For n = 2, we have: t2 = t1 x r(2 - 1) t2 = t1r substitute 11.304 for t2, and 2.512 for t1 into the formula; 11.304 = 2.512r r = 4.5 Check:

To find the common ration in a geometric sequence, divide one term by its preceding term: r = -18 ÷ 6 = -3 r = 54 ÷ -18 = -3 r = -162 ÷ 54 = -3

The geometric-harmonic mean of grouped data can be formed as a sequence defined as g(n+1) = square root(g(n)*h(n)) and h(n+1) = (2/((1/g(n)) + (1/h(n)))). Essentially, this means both sequences will converge to the mean, which is the geometric harmonic mean.

35

12.49