Question

numa sequencia infinita sabe se q;
2 e o primeiro termo;
cada termo, a partir do segundo, é obtido somando-se 5 ao seu antecessor.
escreva os 10 primeiros termos dessa sequencia

Answer 1

$a_1=2\\\\ r=5\\\\ a_2=a_1+r\to a_2=2+5 \to a_2=7\\\\ a_3=a_2+r\to a_3=7+5 \to a_3=12\\\\ a_4=a_3+r\to a_4=12+5 \to a_4=17\\\\ a_5=a_4+r\to a_5=17+5 \to a_5=22$


$a_6=a_5+r\to a_6=22+5 \to a_6=27\\\\ a_7=a_6+r\to a_7=27+5 \to a_7=32\\\\ a_8=a_7+r\to a_8=32+5 \to a_8=37\\\\ a_9=a_8+r\to a_9=37+5 \to a_2=42\\\\ a_{10}=a_9+r\to a_{10}=42+5\to a_{10}=47\\\\\\\\ PA(2, 7, 12, 17, 22, 27, 32, 37, 42, 47)$