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P2 - Pure maths - Logs

w0rldl3ad3r

Given that p(q^2) = e, prove that the sum of the first five terms of the arithmetic series with first term ln(p^2) and common difference 2lnq is 10.

Can one kindly show steps leading to conclusion. Thanks in advance.

Reply 1

dvs

S = (n/2) [2a + (n-1)d]
= (5/2) [2ln(p²) + 4(2lnq)]
= 2.5 [4lnp + 4ln(q²)]
= 2.5 [4ln(p.q²)]
= 10 lne
= 10

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