Question

 If the third term of G.P. is P . Then , the product of the first five terms of G.P. is 
(a) p³
(b)p²
(c)p¹⁰
(d)p⁵​

Answer 1

Answer:

Step-by-step explanation:

NOW CONSIDER THE FIVE TERMS AS A/R^2,A/R,A,AR,AR^2. NOW HERE THE FIRST TERM IS A/R^2 AND R IS THE COMMON RATIO. NOW MULTIPLY THEM.

WHEN YOU DO SO ALL THE R GET CANCEL OUT AND YOU WILL BE LEFT WITH A^5. ANS HERE WHAT IS A THE THIRD TERM THAT IS P IN THE QUESTION GIVEN.

HENCE JUST SUB P IN PLACE OF A AND YOU WILL GET THE ANSWER AS P^5. THANK YOU AND ENJOY LEARNING AND PLEASE ODO MARK AS BRAINLIEST ANSWER IF POSSIBLE

Answer 2

Given :  third term of G.P. is P  

To find : product of the first five terms of G.P

Solution:

Let say   GP is

a , ar , ar² . ar³  , ar⁴

product of the first five terms of G.P = a. ar . ar². ar³ . ar⁴

= a⁵ . r⁽¹⁺²⁺³⁺⁴⁾

= a⁵ . r¹⁰

= a⁵ .(r²)⁵

= (ar²)⁵

Third term of GP = ar³⁻¹ = ar²

=> P =  ar²

product of the first five terms of G.P =  (P)⁵

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