The sum of the sixth & tenth terms of an AP is 92. The sum of eighth & thirteenth terms is 112. What will be the first term of the AP *
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Step-by-step explanation:
a+ 5d + a + 9d = 92
2a + 14d = 92
a + 7d = 46
a = 46 - 7d--------(1)
=> a + 7d + a + 12d = 112
2a + 19d = 112
, 2 (46 - 7d) + 19d = 112-(using (1))
92 - 14d + 19d = 112
d = 4
a = 18
A.P. = 18, 22 , 26.....
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