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Question
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
12, 32, 52, 72 …
Solution
12, 32, 52, 72 …
Or, 1, 9, 25, 49 …..
It can be observed that
a2 − a1 = 9 − 1 = 8
a3 − a2 = 25 − 9 = 16
a4 − a3 = 49 − 25 = 24
i.e., ak+1 − ak is not the same every time.
Therefore, the given numbers are not in A.P.
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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
