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Question
Find the common difference of the A.P. and write the next two terms 119, 136, 153, 170, ...
Solution
In this problem, we are given different A.P. and we need to find the common difference of the A.P., along with the next two terms.
119, 136, 153, 170, ...
Here,
`a_1 = 119`
`a_2 = 136`
So, common difference of the A.P. (d) = `a_2 -a_1`
= 136 - 119
= 17
Also, we need to find the next two terms of A.P., which means we have to find the 5thand 6th term.
So, for fifth term,
`a_5 = a_1 + 4d`
= 119 + 4 (17)
= 119 + 68
= 187
Similarly, we find the sixth term,
`a_6 = a_1 + 5d`
= 119 + 5(17)
= 119 + 85
= 204
Therefore, the common difference is d = 17 and the next two terms of the A.P. are `a_5 = 187 , a_6 = 204`.
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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
