Question 12 of 36intermediate🔧 ApplyNumerical4 marks

Use your understanding to find the following sums without adding the numbers directly.

(a)

67 + 68 + 69

Answer

204

(b)

24 + 25 + 26 + 27

Answer

102

(c)

48 + 49 + 50 + 51 + 52

Answer

250

(d)

237 + 238 + 239 + 240 + 241 + 242

Answer

1,437

Explanation

(a) Sum of 3 consecutive numbers = 3 × middle number = 3×683 \times 68 = 204. (b) Sum of 4 consecutive numbers = 2 × (middle two sum) = 2 × (25 + 26) = 2×512 \times 51 = 102. Or: 4×25.54 \times 25.5 = 102. (c) Sum of 5 consecutive numbers = 5 × middle number = 5×505 \times 50 = 250. (d) Sum of 6 consecutive numbers = 3 × (first + last) = 3 × (237 + 242) = 3×4793 \times 479 = 1,437.