please answer this question
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Answer:
95
Step-by-step explanation:
Let the first term be 'a' and common difference be 'd'. According to question:
=> 4th term + 8th term = 24
=> (a + 3d) + (a + 7d) = 24
=> 2a + 10d = 24
=> 2a = 24 - 10d ... (1)
Moreover, 6th + 10th term = 44
=> (a + 5d) + (a + 9d) = 44
=> 2a + 14d = 44
From (1),
=> 24 - 10d + 14d = 44
=> 4d = 20
=> d = 5,
Henceforth, a = - 13
Using S = (n/2) {2a + (n - 1)d} for n =10,
=> (10/2) {2(-13) + (10 - 1)5}
=> 5{-26 + 45}
=> 95
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