Question

448,220,106,49,......,6.25​

Answer 1

448 - 220 = 228.

220 -106 = 114 (228/2)

106 - 49 = 57 (114/2)

49 - 20.5 = 28.5 (57/2)

20.5 - 6.25 = 14.25 (28.5/2)

So answer is 20.5

Answer 2

The given sequence is a geometric sequence with a common ratio of 0.491, and the terms can be generated by multiplying the previous term by 0.491.

The given sequence is:

448, 220, 106, 49, ........ , 6.25

This sequence appears to be decreasing and possibly following a pattern.

If we look at the ratio of consecutive terms, we see that:

220 / 448 = 0.491,

106 / 220 = 0.482,

49 / 106 = 0.462,

and so on.

The ratios are approximately constant, and equal to 0.491. This suggests that the sequence is a geometric sequence with a common ratio of 0.491.

Using this information, we can write the sequence as:

448, 220, 106, 49, 23.99, 11.78, 5.78, 2.83, 1.39, 0.68, 0.33, 0.16, 0.08, 0.04, 0.02, 0.01, 0.005, 0.002, 0.001

The next term in the sequence can be found by multiplying the previous term by 0.491.

We can also note that the final term in the sequence, 6.25, is equal to 0.491 to the power of 18, multiplied by 448, the first term in the sequence:

$6.25 = 0.491^18 * 448$

Therefore, the given sequence is a geometric sequence with a common ratio of 0.491, and the terms can be generated by multiplying the previous term by 0.491.

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