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Let a−d,a,a+d be the three consecutive terms of an A.P.
Given: Sum=a−d+a+a+d=18
⇒3a=18 or a=6
Sum of their squares=(6−d)
2
+6
2
+(6+d)
2
=140
⇒36+d
2
−12d+36+36+d
2
+12d=140
⇒2d
2
=140−108=32
⇒d
2
=16
⇒d=±4
The three consecutive terms are 6+4,4,6−4 or 6−4,−4,6+4
10.4.2 or 2,−4,10
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