Question

Determine o valor de C. Por favor!

Answer 1

Resposta:

Explicação passo a passo:

$a_{1}=c$

$a_{n}=2a_{n-1} +1$

$a_{2}=2a_{2-1} +1$

$a_{2}=2a_{1} +1$

$a_{2}=2c +1$

$a_{3}=2a_{3-1} +1$

$a_{3}=2a_{2} +1$

$a_{3}=2.(2c+1) +1$

$a_{3} =4c+2+1$

$a_{3} =4c+3$

$a_{4}=2a_{4-1} +1$

$a_{4}=2a_{3} +1$

$a_{4}=2.(4c+3) +1$

$a_{4}=8c+6+1$

$a_{4}=8c+7$

$a_{1} +a_{2} +a_{3} +a_{4}=71$

$c+(2c+1)+(4c+3)+(8c+7)=71$

$15c+11=71$

$15c=71-11$

$15c=60$

$c=60/15$

$c=4$

$Resposta:\:c=4$