Question

In an A.P ten times of its tenth term is equal to thirty times of its 30th term.Find its 40th term ​

Answer 1

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Given:

10(a10)=30(a30)

Now,

10(a+9d)=30(a+29d)

10a+90d=30a+870d

➡-20a=780d

➡a=-39d

40th term:

↪a40=a+39d

↪-39d+39d

↪0

Thus, the 40th term of the AP is 0.

Answer 2

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