Question

determine a soma dos dez termos da P.G (1, 4, 16....262, 144)

Answer 1

a₁ = 1

q = 4

a₁₀ = ?

n = 10

a₁₀ = a₁ * q¹⁰ ⁻ ¹

a₁₀ = 1 * 4⁹

a₁₀ = 1 * 262 144

a₁₀ = 262 144

Sn = a₁ * ( qⁿ - 1) / q - 1

S₁₀ = 1 * (4¹⁰ - 1) / 4 - 1

S₁₀ = 1 * (1 048 576 - 1) / 3

S₁₀ = 1 * 1 048 575 / 3

S₁₀ = 349 525