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In a GP the sum of the second and third term is 9 and the...

In a GP the sum of the second and third term is 9 and the seventh term is sixteen times the fourth term.Find the:(a)First term (b)Common ratio (c)Fifth term?

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Answers (1)

Robert Endurance
3 weeks ago
Let a= first term
r= common ratio
Tn= nth term
Tn= a(r^(n - 1))

T2 + T3= 9 •••> (1)
T7= 16(T4) •••> (2)

From equation (1),
ar¹ + ar²= 9
ar + ar²= 9
ar(1 + r)= 9 •••> (3)

From equation (2),
a(r^6)= 16(ar³)
{ (a(r^6))/(ar³) }= { (16(ar³)/(ar³) }
r³= 16 •••> (4)

I have come to a sudden conclusion because this question needs to be rechecked and reposted.

Thank you.
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