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Question
If 3 + k, 18 – k, 5k + 1 are in A.P. then find k
Solution
3 + k, 18 – k, 5k + 1 are in A.P
⇒ 2b = a + c if a, b, c are in A.P
∴ `underbrace(3 + "k")_"a", underbrace(18 - "k")_"b", underbrace(5"k" + 1)_"c"`
2b = a + c
⇒ 2(18 – k) = 3 + k + 5k + 1
36 – 2k = 4 + 6k
6k + 2k = 36 – 4
8k = 32
k = `32/8` = 4
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| Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasure. Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize. While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming an A.P. If the number on the nth spot is 20 + 4n, then answer the following questions to help the players in spotting the clues: |
- Which number is on first spot? 1
- Which spot is numbered as 112? 2
OR - What is the sum of all the numbers on the first 10 spots? 2
- Which spot is numbered as 112? 2
- Which number is on the (n – 2)th spot? 1
