Q3 of 21 Page 38

Find the general principle of each of the patterns below and explain it using algebra.

On observing the pattern we get general formula as



To prove this algebraically,


We know that so,


……..(1)




∵ using, a2-b2 = (a-b)(a + b)



…………….(2)


From (1) and (2) , we get



Hence, proved!


More from this chapter

All 21 →
1

Find the general principle of each of the patterns below and explain it using algebra.


 2

Find the general principle of each of the patterns below and explain it using algebra.

 4

Find the general principle of each of the patterns below and explain it using algebra.

 1

Find the fraction of denominator is a power of 10 equal to each of the fractions below, and then write their decimal forms: