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Find seven numbers A(1), A(2),……A(7) so ...

Find seven numbers `A_(1), A_(2),……A_(7)` so that the sequence `4, A_(1), A_(2), ……..,A_(7),7` is in arithmetic progression and also 4 numbers `G_(1), G_(2), G_(3), G_(4)` so that the sequence `12, G_(1), G_(2), G_(3), G_(4), (3)/(8)` is in geometric progression.

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The correct Answer is:
`6, 3, 1+(1)/(2), (3)/(4)`
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FULL MARKS-BINOMIAL THEOREM, SEQUENCES AND SERIES -Additional Questions Solved
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  3. Find a positive value of m for which the coefficient of x^(2) in the e...

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  7. Show that the coefficient of the middle term in the expansion of (1+x)...

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  8. If three consecutive coefficients in the expansion of (1+x)^(n) are in...

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  12. Find the first five terms of the sequence given by {{:(" " a(1...

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  15. An A.P. consists of 21 terms. The sum of the three terms in the middle...

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  16. Prove that the product of the 2^(nd) and 3^(rd) terms of an arithmetic...

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  17. If the p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c respecti...

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  18. If a, b, c are in A.P. and p is the A.M. between a and b and q is the ...

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  19. If x, y, z be respectively the p^(th), q^(th) and r^(th) terms of a G....

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  21. Determine the number of terms of geometric progression {a(n)} if a(1)=...

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