Question

If 7times the 7th term of an A. P is equal to 11times the 11th term. Show that is 18th term is zero. Can you find the first term and the common difference? Justify your answer

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Atq

7(a+6d)=11(a+10d)

7a +42d=11a+110d

0=11a-7a+110-42d

0=4a+68d

0=4(a+17d)

0=a+17d(i)

Now

A18=a+(18-1)d

A18=a+17d

A18=0 by(i)

Hence proved