which of these patterns are recursive?
a) 3,6,12,24,48,96
b) 1,4,9,16,25,36,
c) 1,3,9,27,81,243
d) 4,9,19,39,79,159
D is correct because each number gets doubled from the previous number: first you add 20, then to the next number you add 40 then to the next number you add 40, etc.
d starts with
previous value + 5; the next value is
previous value +10; the next value is
previous value +20; the next value is
previous value +40;, the next value is
previous value +80; ...
d is the right answer
It is a).........:)
D is correct haahhahaha
To determine which of these patterns are recursive, we need to analyze each pattern and look for a recurring relationship between the terms.
a) 3, 6, 12, 24, 48, 96
In this pattern, each term is obtained by multiplying the previous term by 2. For example, 6 is obtained by multiplying 3 by 2, 12 is obtained by multiplying 6 by 2, and so on. Since there is a consistent multiplication relationship between the terms, this pattern is recursive.
b) 1, 4, 9, 16, 25, 36
In this pattern, each term is obtained by squaring the natural numbers consecutively. For example, 4 is obtained by squaring 2, 9 is obtained by squaring 3, and so on. This pattern is not recursive since there is no constant relationship between the terms.
c) 1, 3, 9, 27, 81, 243
In this pattern, each term is obtained by multiplying the previous term by 3. For example, 3 is obtained by multiplying 1 by 3, 9 is obtained by multiplying 3 by 3, and so on. Since there is a consistent multiplication relationship between the terms, this pattern is recursive.
d) 4, 9, 19, 39, 79, 159
In this pattern, it is not immediately clear what relationship exists between the terms. There is no consistent pattern of addition, multiplication, or exponentiation. Without a clear recurring relationship, this pattern is not recursive.
So, the patterns that are recursive are:
a) 3, 6, 12, 24, 48, 96
c) 1, 3, 9, 27, 81, 243