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Q: What is the 7th term of a geometric sequence in which the common ration is negative one half and the first term is 4096?

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7, 7.7, 8.47, 9.317 Ie 7 x 1.1^3

Because 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24, the common ration of the sequence is 2. If we are given the fact that the sequence does have a common ratio, the answer can be found by simply taking 6/3 = 2.

To find any term of a geometric sequence from another one you need the common ration between terms: t{n} = t{n-1} × r = t{1} × r^(n-1) where t{1} is the first term and n is the required term. It depends what was given in the geometric sequence ABOVE which you have not provided us. I suspect that along with the 10th term, some other term (t{k}) was given; in this case the common difference can be found: t{10} = 1536 = t{1} × r^9 t{k} = t{1} × r^(k-2) → t{10} ÷ t{k} = (t{1} × r^9) ÷ (t{1} × r^(k-1)) → t{10} ÷ t{k} = r^(10-k) → r = (t{10} ÷ t{k})^(1/(10-k)) Plugging in the values of t{10} (=1536), t{k} and {k} (the other given term (t{k}) and its term number (k) will give you the common ratio, from which you can then calculate the 11th term: t{11} = t(1) × r^9 = t{10} × r

2/4, 8/10 or any ration of numbers that have a common factor other than 1.

Dividing one term by the next gives: 15 ÷ 10 = 1.5 22.5 ÷ 15 = 1.5 33.75 ÷ 22.5 = 1.5 Giving the common ration as 1.5

Related questions

The sequence is neither arithmetic nor geometric.

7, 7.7, 8.47, 9.317 Ie 7 x 1.1^3

It is 0.2

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

Because 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24, the common ration of the sequence is 2. If we are given the fact that the sequence does have a common ratio, the answer can be found by simply taking 6/3 = 2.

No, but it is a rational number.

Malthus

Any negative integer. Whole numbers are 0, 1, 2, 3, ... Whole numbers do not include negative integers.

To stop important necessitys from running out and in order to preserve the items one is already short on. However some things wee so common the need to ration is absent!

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