Evaluate:
(i) (38)2 - (37)2 (ii) (75)2 - (74)2
(iii) (92)2 - (91)2 (iv) (105)2 - (104)2
(v) (141)2 -(140)2 (vi) (218)2 - (217)2
(i) We know that,
[(n + 1)2 – n2] = (n + 1) + n
(38)2 – (37)2 = 38 + 37
= 75
(ii) We know that,
[(n + 1)2 – n2] = (n + 1) + n
(75)2 – (74)2 = 75 + 74
= 149
(iii) We know that,
[(n + 1)2 – n2] = (n + 1) + n
(92)2 – (91)2 = 92 + 92
= 183
(iv) We know that,
[(n + 1)2 – n2] = (n + 1) + n
(105)2 – (104)2 = 105 + 104
= 209
(v) We know that,
[(n + 1)2 – n2] = (n + 1) + n
(141)2 – (140)2 = 141 + 140
= 281
(vi) We know that,
[(n + 1)2 – n2] = (n + 1) + n
(218)2 – (217)2 = 218 + 217
= 435