Fill in the blanks:The third term of a G.P. is 4, the product of the f

1.	Fill in the blanks:The third term of a G.P. is 4, the product of the first five terms is ................ .
Answer» Given: Third term of a G.P, T₃ = 4 ∴ ar² = 4 …(i) To find: Product of first five terms So, First five terms are a, ar, ar², ar³ and ar⁴ ∴ Product of first five terms = a × ar × ar² × ar³ × ar⁴ = a⁵r^1+2+3+4 = a⁵r¹⁰ = (ar²)⁵ = (4)⁵ [from (i)] Ans. The third term of a G.P. is 4, the product of the first five terms is (4)⁵.

Fill in the blanks:The third term of a G.P. is 4, the product of the first five terms is ................ .

Answer»

Given: Third term of a G.P, T₃ = 4

∴ ar² = 4 …(i)

To find: Product of first five terms

So, First five terms are a, ar, ar², ar³ and ar⁴

∴ Product of first five terms = a × ar × ar² × ar³ × ar⁴

= a⁵r^1+2+3+4

= a⁵r¹⁰

= (ar²)⁵

= (4)⁵ [from (i)]

Ans. The third term of a G.P. is 4, the product of the first five terms is (4)⁵.