Let us define a sequence using the following definition −
Given terms t1 and t2, the two consecutive terms of this sequence, then the third term of this sequence will equal to −
t3 = t1 + (t2 * t2)
Like the Fibonacci sequence, the first two terms of this sequence will always be 0 and 1 respectively.
We are required to write a JavaScript function that takes in a number, say n. The function should then compute and return the nth term of the sequence described above.
For example − If n = 6, then
t6 = 27
because the sequence is −
0 1 1 2 5 27
Example
The code for this will be −
const num = 6;
const findSequenceTerm = (num = 1) => {
const arr = [0, 1];
while(num > arr.length){
const last = arr[arr.length − 1];
const secondLast = arr[arr.length − 2];
arr.push(secondLast + (last * last));
};
return arr[num − 1];
};
console.log(findSequenceTerm(num));Output
And the output in the console will be −
27