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Darya [45]
3 years ago
13

Write a recursive formula for the sequence of numbers.

Mathematics
2 answers:
drek231 [11]3 years ago
8 0

Step-by-step explanation:

an = a1 + 4×[2^(n -1) - 1]

---------------------------------

Advocard [28]3 years ago
7 0

9514 1404 393

Answer:

  a[1] = 3

  a[n] = 2×a[n-1] +1

Step-by-step explanation:

We observe the first differences are ...

  7-3 = 4

  15-7 = 8

  31-15 = 16

  63-31 = 32

The first differences increase by a factor of 2, so we expect the recursive formula will have a term that looks like "2×a[n-1]".

The second term is 2·3+1 = 7.

The third term is 2·7+1 = 15.

This suggests our recursive formula is ...

  a[1] = 3

  a[n] = 2×a[n-1] +1

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wyzant

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White raven [17]
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--------------------------------------------

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Angle R = Angle Q
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