the 5th term of an as is 40 and 10th term of an as is 20 find 15th term
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0 is the answer I suppose
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nth term of AP=a + (n - 1) * d
5th term of an AP = a + 4d = 40…………(1)
10th term of an AP = a + 9d = 20 ……………(2)
Solving (1) and (2) we get
a + 4d = 40
a + 9d = 20
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d = 5
Substitute d = 5 in (1), we get
a + 4d = 40
a + 4(5) = 40
a = 40 - 20
a = 20.
Then:
15th term = a + 14d
= 20 + 14(5)
= 20 + 70
= 90
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