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Harmonic Progression

16. If (m+1)t...

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16. If (m+1)th term of AP is twice the (n+1)th term prove that (3m+1)th term is twice the (m+n+1)th term.

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Q. If (m + 1)^th term of an A.P is twice the (n + 1)^th term, prove that (3m + 1)^th term is twice the (m + n + 1)^th term.

(p + 1) t h

term of an A.P. is twice the

(q + 1) t h

term, Prove that the

(3 p + 1) t h

= m (p + 1) t h

m

If ${(p + 1)}^{t h}$ term of an A.P is twice ${(q + 1)}^{t h}$ term, Prove that ${(3 p + 1)}^{t h}$ term is twice the ${(p + q + 1)}^{t h}$ term.

Q. Given that the

(p + 1)^{t h}

term of an A.P is twice the

(q + 1)^{t h}

term, prove that the

(3 p + 1)^{t h}

term is twice the

(p + q + 1)^{t h}

(n + 1)^{t h}

term of a harmonic progression is twice the

(3 n + 1)^{t h}

term. Find the ratio of the first term to the

(n + 1)^{t h}

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