Answer:
677 and 458330.
Step-by-step explanation:
Given:
1, 2, 5, 26, (Four terms)
Question asked:
What are the next two term ?
Solution:
Among all the four terms. it is being observed that the next term is square of the previous term plus one.
1st term = 1
2nd term = [tex]1^{2}[/tex] + [tex]1[/tex] = 2
3rd term = [tex]2^{2} + 1[/tex] = [tex]5[/tex]
4th term = [tex]5^{2} + 1[/tex] = [tex]26[/tex]
5th term will be = [tex]26^{2} + 1 = 677[/tex]
Similarly, 6th term will be = [tex]677^{2} + 1 = 458330[/tex]
Thus, the next two term are = 677 and 458330.
