Answer:
See.. there are two solutions for this question…
First one:—
(1×1)=1
(2×2)=4
(3×3)=9
(4×4)=16
(5×5)=25
(6×6)=36
(7×7)=49
(8×8)=64
(9×9)=81
(10×10)=100…. So as you saw that the pattern above is the square of consecutive numbers from 1 to 7… and the rest are the square of 8..9 nd 10…
Bow second method…
The series above is…
1…4…9…16…25…36…49
Here…
4-1=3
9-4=5
16-9=7
25-16=9
36-25=11
49-36=13…
So u can see that the difference between each term is a prime number ….and they form a series itself…
Series of odd no…..u can call it in Aritthmetic progression too…
3..5..7..9..11..13.. and the next odd no. Are 15..17 nd 19….
So the next 3 no. In the pattern are…
49+15=64
64+17=81
81+19=100
Step-by-step explanation:
