Write a recursive formula for the sequence 15, 26, 48, 92, 180.

2 answers:

7 0

We are given the sequence 15, 26, 48, 92, 180. if we try to get the difference of the numbers, the sequence of the differences is 11,22, 44, 88.. this means the first difference is 11 and the succeeding differences is multiplied by 2 and so on.

12345 [234]2 years ago

4 0

15, 26, 48, 92, 180

  26 - 15 = 13
  48 - 26 = 22
  92 - 48 = 44
180 - 92 = 88

  26 ÷ 15 = 1.73
  48 ÷ 26 = 1.84
  92 ÷ 48 = 1.9167
180 ÷ 92 = 1.95

The recursive formula isn't arithmetic or geometric.

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Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow: