2+2Pls help me on this
2 answers:
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Answer:
Common Ratio = First Term = Common Difference.
Step-by-step explanation:
The general term of AP is an = a + (n-1)d
So, the second term of AP is a2 = a + d
The sixth term of AP is a6 = a + 5d
The eighteenth term of AP is a18 = a + 17d
Now, the terms a2, a6 and a18 are in GP.
⇒
or,
By cross multiplying, we get
or,
Now, simplifying the above expression, we get that
or, r = a = d
Hence, the Common Ratio = First Term = Common Difference.