find 3 consecutive terms of an A.p whose sum is -37 and the products of their cubes is
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Answer:
Let the numbers be (a−d),a,(a+d). Then,
Sum=−3⇒(a−d)+a+(a+d)=−3⇒3a=−3⇒a=−1
Product of their cubes=512⇒(a−d)
3
×a
3
×(a+d)
3
=512
⇒(a
2
−d
2
)
3
×a
3
=512
⇒−(1−d
2
)
3
=512 (∵a=−1)
⇒−(1−d
2
)=8
⇒d
2
=9⇒d=±3
If d=3, then the numbers are −4,−1,2. If d=−3, then the numbers are 2,−1,−4.
Step-by-step explanation:
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same to you pullal
Sunni.
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