Question

evaluate the sum of the given series. 19 1/2 + 18 +16 1/2+ 15 + 1/2 .​

Answer 1

Step-by-step explanation:

evaluate the sum of the given series. 19 1/2 + 18 +16 1/2+ 15 + 1/2 .

(i) (a + b)2 = a2 + 2ab + b2

∴312 = (30 + 1)2 = 302 + 2 × 30 × 1 + 12 = 900 + 60 + 1 = 961

(ii) (a + b)2 = a2 + 2ab + b2

∴722 = (70 + 2)2 = 4900 + 280 + 4 = 5184

(iii) (a + b)2 = a2 + 2ab + b2

∴372 = (30 + 7)2 = 900 + 420 + 49 = 1369

(iv) (a + b)2 = a2 + 2ab + b2

∴1662 = (160 + 6)2 = 25600 + 1920 + 36 = 27556

Answer 2

Answer:

please refer to the attached