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Given : 10th term of an AP = 46
Sum of 5th and 7th term is 52
To Find : AP
Solution:
Let say AP
a , a + d , a + 2d
10th term = a + (10 - 1)d
= a + 9d = 46
5th term = a + 4d
7th term = a + 6d
Sum = a + 4d + a + 6d = 52
=> 2a + 10d = 52
=> a + 5d = 26
a + 9d = 46
a + 5d = 26
=> 4d = 20
=> d = 5
a = 1
AP
1 , 6 , 11 , 16 , 21 , 26 , 31 , 36 , 41 , 46
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