Question 7 of 44intermediate🔧 ApplyShort Answer5 marks
In the following APs, find the missing terms in the boxes:
(i)
2, □, 26
Answer
2, 14, 26
(ii)
□, 13, □, 3
Answer
18, 13, 8, 3
(iii)
5, □, □, 9½
Answer
5, 6½, 8, 9½
(iv)
-4, □, □, □, □, 6
Answer
-4, -2, 0, 2, 4, 6
(v)
□, 38, □, □, □, -22
Answer
53, 38, 23, 8, -7, -22
Explanation
This question tests the understanding of Arithmetic Progression properties. In an AP, the difference between consecutive terms is constant (common difference d). For any AP with first term a and common difference d, the nth term is given by aₙ = a + (n-1)d. When first and last terms are given, we can find d and then determine all missing terms.