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 = = 204. (b) Sum of 4 consecutive numbers = 2 × (middle two sum) = 2 × (25 + 26) = = 102. Or: = 102. (c) Sum of 5 consecutive numbers = 5 × middle number = = 250. (d) Sum of 6 consecutive numbers = 3 × (first + last) = 3 × (237 + 242) = = 1,437.