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प्रश्न
Find the common difference of the A.P. and write the next two terms 119, 136, 153, 170, ...
उत्तर
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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