If 36, p,94 and q are consecutive terms of ..

Question 1 Report

If 36, p, $\frac{9}{4}$ and q are consecutive terms of an exponential sequence (G.P), find the sum of p and q.

9/16

81/16

\frac{9}{16}

Answer Details

GP : 36, P, $\frac{q}{4}$ , q, ... p + q = ?

Recall,

common

ratio,

TnTn-1

T2T1

T3T2

T4T3

∴

P36

;

^{2}

;

^{2}

∴

T2T1

936

Also

T4T3

∴ $\frac{1}{4}$ = q ÷ $\frac{9}{4}$ ;

$\frac{9}{4}$ = 4q

16q

916

∴

916

If 36, p,94 and q are consecutive terms of an exponential sequence (G.P), find the sum of p and q.