Số số hạng của dãy số là:
$($$100$$-$$1$$)$ $:$ $3$ $+$ $1$$=$ $34$
Ta có:
$($$1$$+$$4$$+$$7$$+$$...$$+$$100$$)$ $:$ $x$ $=$ $17$
$⇒$ $($$100$$+$$1$$)$$×$$34$ $:$ $2$ $:$ $x$ $=$ $17$
$⇒$ $101$$×$$34$ $:$ $2$ $:$ $x$ $=$ $17$
$⇒$ $3434$ $:$ $2$ $:$ $x$ $=$ $17$
$⇒$ $1717$ $:$ $x$ $=$ $17$
$⇒$ $x$ $=$ $1717$ $:$ $17$
$⇒$ $x$ $=$ $101$