the sum of 9 terms of an A.P is 171 and its eight term is 31. Find the series
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Answer:
3,7,11,15,19 so on
Step-by-step explanation:
S9 = 9/2( 2a + 8d)
171 = 9/2( 2a + 8d)
2a + 8d = 38 (divide by 2)
a + 4d = 19 ------ 1
a8 = 31
a + 7d = 31 ------- 2
Solving equation 1 and 2 , we get
d = 4 and a = 3
Series is in the form a, a1, a2, a3, a4 so on
3,7,11,15,19 so on
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