Question

Qual o décimo quinto termo da pg (3/4, 3/2,3,...)

Answer 1

Resposta:

a₁=3/4

q=a₂/a₁= (3/2)/(3/4)=3/2  * 4/3=2

aₙ=a₁ * qⁿ⁻¹

a₁₅=3/4 * 2¹⁵⁻¹

a₁₀=3/2² * 2¹⁴

a₁₀=3 * 2¹⁴⁻²

a₁₀=3 * 2¹²

a₁₀= 12288

Answer 2

Resposta:

a¹=3/4

q=a²/a¹=(3/2)/(3/4)=3/2 *4/3=2

aⁿ=a¹ *qn·¹

a¹⁵=3/4 *2¹⁵-1

a¹⁰=3/2² *2¹⁴

a¹⁰=3 *2 ¹⁴·²

a¹⁰=3 *2¹²

a¹⁰=12288