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CBSE Class 9 Answered

Determine the AP whose 3rd term is 5and 7th term9?
Asked by karrollaprabhakar70 | 07 May, 2020, 09:40: AM
answered-by-expert Expert Answer
Let a and d be the first term and common difference of an AP
It is given that, third term a3 = 5 and seventh term a7 = 9.
Therefore,
a + 2d = 5 ... (i)
a + 6d = 9 ... (ii)
Subtracting (i) from (ii), we have
4d = 4
d = 1
Substituting in (i), we have
a + 2(1) = 5
a = 3
The AP will be a, a+d, a+2d, a+3d, ...
Hence, the required AP is 3, 4, 5, 6, 7, ....
Answered by Renu Varma | 07 May, 2020, 10:30: AM

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