Every next number is increased by 5. The next number in the sequence is 23.
8, 13, 18, 23, 28, etc.
18 3 +1 4 +2 6 +3 9 +4 13 +5 18 +6 24 +7 31 +8 39 +9 48 +10 58...
Fibonacci Sequence
By subtracting one term from the next the common difference can be found: Using -8 and -13: -13 - -8 = 13 + 8 = -5 → Common difference is -5.
This is a Fibonacci sequence. Each number in the sequence is the sum of the previous two numbers:3+5=85+8=138+13=2113+21=34
8, 13, 18, 23, 28, etc.
The sequence 3, 8, 13, 18, 23, 28 increases by 5 each time. This indicates a linear pattern. The nth term can be expressed as ( a_n = 3 + 5(n - 1) ), which simplifies to ( a_n = 5n - 2 ). Thus, the nth term of the sequence is ( 5n - 2 ).
The answer is 34. The full sequence is called the Fibonachi series. Your sequence is 3 5 8 13 21 3 + 5= 8 8 + 13 = 21 Therefore: 13 + 21 = 34
The lucas numbers are a sequence of numbers. They go as 1, 3, 4, 7, 11, 18 etc the sequence is bery similar to the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13)
To find the nth term of the sequence 3, 8, 13, 18, I first identified the pattern in the differences between consecutive terms: 5, 5, 5. Since these differences are constant, the sequence is linear. The nth term can be expressed in the form ( a_n = an + b ). By using the first term (3) and the common difference (5), I derived the formula: ( a_n = 5n - 2 ).
18 3 +1 4 +2 6 +3 9 +4 13 +5 18 +6 24 +7 31 +8 39 +9 48 +10 58...
8 1+2 = 3 2+3 = 5 3+5 = 8 5+8 = 13 8+13 = 21
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.
Fibonacci Sequence
its the Fibonacci sequence
By subtracting one term from the next the common difference can be found: Using -8 and -13: -13 - -8 = 13 + 8 = -5 → Common difference is -5.
It is almost the Fibonacci sequence, which is 0 1 1 2 3 5 8 13 21 34 55 ...1 + 2 = 32 + 3 = 53 + 5 = 85 + 8 = 13So, the sequence is 1 2 3 5 8 13