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Question
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
3, 3, 3, 3, .....
Solution
In the given problem, we are given various sequences.
We need to find out that the given sequences are an A.P or not and then find its common difference (d)
3, 3, 3, 3, .....
Here,
First term (a) = 3
`a_1 = 3`
`a_2 = 3`
Now, for the given to sequence to be an A.P,
Common difference (d) = `a_1 - a = a_2 - a_1`
Here
`a_1 - a = 3 - 3`
= 0
Also
`a_2 - a_1 = 3 - 3`
= 0
Since `a_1 - a = a_2 - a_1`
Hence, the given sequence is an A.P and its common difference is d = 0
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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
