Question

15. Determine o 15º termo da PA (6, 10, ...).​

Answer 1

Resposta:

$\red{a_{15} = 62}$

Explicação passo-a-passo:

primeiro temos que descobrir o valor da razão dessa P.A

r = a2 - a1

r = 10 - 6

r = 4

agora iremos determinar o 15° termo .

$an = a</strong><strong>_</strong><strong>{</strong><strong>1 </strong><strong>}</strong><strong>+ (n - 1).r \\ </strong><strong>a_</strong><strong>{</strong><strong>15</strong><strong>}</strong><strong> = 6 + (15 - 1).4 \\ a</strong><strong>_</strong><strong>{</strong><strong>15</strong><strong>}</strong><strong> = 6 + 14.4 \\ a</strong><strong>_</strong><strong>{</strong><strong>15</strong><strong>}</strong><strong> = 6 + 56 \\ \red{a</strong><strong>_</strong><strong>{</strong><strong>15 </strong><strong>}</strong><strong>= 62}$

espero ter ajudado :)