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Question
Find 9th term of the A.P `3/4, 5/4, 7/4, 9/4,.....`
Solution
9th term of the A.P `3/4, 5/4, 7/4, 9/4,.....`
Here
First term (a) = `3/4`
Common difference of the A.P.(d) = `5/4 - 3/4`
`= (5 - 3)/4`
`= 2/4`
Now as we know
`a_n= a + (n -1)d`
So, for 9th term,
`a_9 = a + (9 - 1)d`
`= 3/4 + (8) (2/4)`
`= 3/4 + 16/4`
`= 19/4`
Therefore the 9th term of the given A.P. is `a_9 = 19/4`
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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