The sequence 1, 4, 13, 40, 121 can be described by a recursive formula. The recursive relationship can be expressed as ( a_n = 3a_{n-1} + 1 ) for ( n \geq 2 ), with the initial condition ( a_1 = 1 ). This means each term is generated by multiplying the previous term by 3 and then adding 1.
If you notice, there is a common difference between the terms: tn - tn-1 = -4 So the nth term is: tn = tn-1 - 4 For this recursive sequence to be defined though, you need something to start with as your tn-1. So start with t1= 3 and you're done.
Subtract -13 at each consecutive term and so the next term will be -34
The next number in the sequence 5-7-13-31 is 69.
Arithmetic
The sequence 1, 4, 13, 40, 121 can be described by a recursive formula. The recursive relationship can be expressed as ( a_n = 3a_{n-1} + 1 ) for ( n \geq 2 ), with the initial condition ( a_1 = 1 ). This means each term is generated by multiplying the previous term by 3 and then adding 1.
Let f(x) = the xth term in your sequence. If x = 1, then f(x) = 5; otherwise if x > 1, then f(x) = f(x - 1) + 4.
If you notice, there is a common difference between the terms: tn - tn-1 = -4 So the nth term is: tn = tn-1 - 4 For this recursive sequence to be defined though, you need something to start with as your tn-1. So start with t1= 3 and you're done.
Subtract -13 at each consecutive term and so the next term will be -34
The next number in the sequence 5-7-13-31 is 69.
The term menarche describes onset of menstruation. This is usually charachterisic of age 12 or 13.
Well, the menstruation starts at the age of 12-13 in girls. The term for onset of menstruation is menarche .
Arithmetic
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
arithmetic
After 13, it's 18.
The sequence 1-1-2-3-5-8-13 is known as the Fibonacci sequence. In this sequence, each number is the sum of the two preceding ones, starting from 1 and 1. Thus, the next numbers would be 21 (13 + 8) and 34 (21 + 13). This pattern continues indefinitely.